Davenport-Zannier polynomials and dessins d'enfants:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2020]
|
| Schriftenreihe: | Mathematical surveys and monographs
249 |
| Schlagwörter: | |
| Abstract: | The French expression "dessins d'enfants" means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics |
| Umfang: | xi, 187 pages illustrations 26 cm |
| ISBN: | 9781470456344 1470456346 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV046888564 | ||
| 003 | DE-604 | ||
| 005 | 20210226 | ||
| 007 | t| | ||
| 008 | 200908s2020 xx a||| b||| 00||| eng d | ||
| 020 | |a 9781470456344 |9 9781470456344 | ||
| 020 | |a 1470456346 |9 1470456346 | ||
| 035 | |a (OCoLC)1220926034 | ||
| 035 | |a (DE-599)BVBBV046888564 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 | ||
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 100 | 1 | |a Adrianov, Nikolai M. |d 1973- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Davenport-Zannier polynomials and dessins d'enfants |c Nikolai M. Adrianov, Fedor Pakovich, Alexander K. Zvonkin |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2020] | |
| 300 | |a xi, 187 pages |b illustrations |c 26 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v 249 | |
| 505 | 8 | |a Introduction -- Dessins d'enfants : from polynomials through Belyĭ functions to weighted trees -- Existence theorem -- Recapitulation and perspectives -- Classification of unitrees -- Computation of Davenport-Zannier pairs for unitrees -- Primitive monodromy groups of weighted trees -- Trees with primitive monodromy groups -- A zoo of examples and constructions -- Diophantine invariants -- Enumeration -- What remains to be done | |
| 520 | 3 | |a The French expression "dessins d'enfants" means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics | |
| 650 | 0 | 7 | |a Polynomalgebra |0 (DE-588)4297306-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Galois-Theorie |0 (DE-588)4155901-0 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Dessins d'enfants (Mathematics) | |
| 653 | 0 | |a Arithmetical algebraic geometry | |
| 653 | 0 | |a Trees (Graph theory) | |
| 653 | 0 | |a Galois theory | |
| 653 | 0 | |a Polynomials | |
| 653 | 0 | |a Algebraic fields | |
| 653 | 0 | |a Algebraic fields | |
| 653 | 0 | |a Arithmetical algebraic geometry | |
| 653 | 0 | |a Dessins d'enfants (Mathematics) | |
| 653 | 0 | |a Galois theory | |
| 653 | 0 | |a Polynomials | |
| 653 | 0 | |a Trees (Graph theory) | |
| 653 | 0 | |a Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Dessins d'enfants, Belyĭ theory | |
| 653 | 0 | |a Combinatorics -- Graph theory -- Trees | |
| 653 | 0 | |a Combinatorics -- Graph theory -- Planar graphs; geometric and topological aspect | |
| 653 | 0 | |a Combinatorics -- Graph theory -- Signed and weighted graphs | |
| 653 | 0 | |a Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures | |
| 653 | 0 | |a Number theory -- Algebraic number theory: global fields -- Galois theory | |
| 653 | 0 | |a Field theory and polynomials -- General field theory -- Special polynomials | |
| 653 | 0 | |a Field theory and polynomials -- Computational aspects of field theory and polynomials -- Computational aspects of field theory and polynomials | |
| 653 | 0 | |a Group theory and generalizations -- Permutation groups -- Primitive groups | |
| 689 | 0 | 0 | |a Polynomalgebra |0 (DE-588)4297306-5 |D s |
| 689 | 0 | 1 | |a Galois-Theorie |0 (DE-588)4155901-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Pakovich, Fedor |d 1970- |e Sonstige |4 oth | |
| 700 | 1 | |a Zvonkin, A. K. |d 1948- |e Sonstige |4 oth | |
| 830 | 0 | |a Mathematical surveys and monographs |v 249 |w (DE-604)BV000018014 |9 249 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-032298432 | |
Datensatz im Suchindex
| _version_ | 1818987259173535744 |
|---|---|
| any_adam_object | |
| author | Adrianov, Nikolai M. 1973- |
| author_facet | Adrianov, Nikolai M. 1973- |
| author_role | aut |
| author_sort | Adrianov, Nikolai M. 1973- |
| author_variant | n m a nm nma |
| building | Verbundindex |
| bvnumber | BV046888564 |
| classification_rvk | SK 230 |
| contents | Introduction -- Dessins d'enfants : from polynomials through Belyĭ functions to weighted trees -- Existence theorem -- Recapitulation and perspectives -- Classification of unitrees -- Computation of Davenport-Zannier pairs for unitrees -- Primitive monodromy groups of weighted trees -- Trees with primitive monodromy groups -- A zoo of examples and constructions -- Diophantine invariants -- Enumeration -- What remains to be done |
| ctrlnum | (OCoLC)1220926034 (DE-599)BVBBV046888564 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03757nam a2200661 cb4500</leader><controlfield tag="001">BV046888564</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210226 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">200908s2020 xx a||| b||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781470456344</subfield><subfield code="9">9781470456344</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1470456346</subfield><subfield code="9">1470456346</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1220926034</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046888564</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Adrianov, Nikolai M.</subfield><subfield code="d">1973-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Davenport-Zannier polynomials and dessins d'enfants</subfield><subfield code="c">Nikolai M. Adrianov, Fedor Pakovich, Alexander K. Zvonkin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">[2020]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xi, 187 pages</subfield><subfield code="b">illustrations</subfield><subfield code="c">26 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">249</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Introduction -- Dessins d'enfants : from polynomials through Belyĭ functions to weighted trees -- Existence theorem -- Recapitulation and perspectives -- Classification of unitrees -- Computation of Davenport-Zannier pairs for unitrees -- Primitive monodromy groups of weighted trees -- Trees with primitive monodromy groups -- A zoo of examples and constructions -- Diophantine invariants -- Enumeration -- What remains to be done</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">The French expression "dessins d'enfants" means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Polynomalgebra</subfield><subfield code="0">(DE-588)4297306-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Galois-Theorie</subfield><subfield code="0">(DE-588)4155901-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Dessins d'enfants (Mathematics)</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Arithmetical algebraic geometry</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Trees (Graph theory)</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Galois theory</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Polynomials</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Algebraic fields</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Algebraic fields</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Arithmetical algebraic geometry</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Dessins d'enfants (Mathematics)</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Galois theory</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Polynomials</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Trees (Graph theory)</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Dessins d'enfants, Belyĭ theory</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Combinatorics -- Graph theory -- Trees</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Combinatorics -- Graph theory -- Planar graphs; geometric and topological aspect</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Combinatorics -- Graph theory -- Signed and weighted graphs</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Number theory -- Algebraic number theory: global fields -- Galois theory</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Field theory and polynomials -- General field theory -- Special polynomials</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Field theory and polynomials -- Computational aspects of field theory and polynomials -- Computational aspects of field theory and polynomials</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Group theory and generalizations -- Permutation groups -- Primitive groups</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Polynomalgebra</subfield><subfield code="0">(DE-588)4297306-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Galois-Theorie</subfield><subfield code="0">(DE-588)4155901-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pakovich, Fedor</subfield><subfield code="d">1970-</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zvonkin, A. K.</subfield><subfield code="d">1948-</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">249</subfield><subfield code="w">(DE-604)BV000018014</subfield><subfield code="9">249</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032298432</subfield></datafield></record></collection> |
| id | DE-604.BV046888564 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T19:03:50Z |
| institution | BVB |
| isbn | 9781470456344 1470456346 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032298432 |
| oclc_num | 1220926034 |
| open_access_boolean | |
| owner | DE-20 |
| owner_facet | DE-20 |
| physical | xi, 187 pages illustrations 26 cm |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Adrianov, Nikolai M. 1973- Verfasser aut Davenport-Zannier polynomials and dessins d'enfants Nikolai M. Adrianov, Fedor Pakovich, Alexander K. Zvonkin Providence, Rhode Island American Mathematical Society [2020] xi, 187 pages illustrations 26 cm txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 249 Introduction -- Dessins d'enfants : from polynomials through Belyĭ functions to weighted trees -- Existence theorem -- Recapitulation and perspectives -- Classification of unitrees -- Computation of Davenport-Zannier pairs for unitrees -- Primitive monodromy groups of weighted trees -- Trees with primitive monodromy groups -- A zoo of examples and constructions -- Diophantine invariants -- Enumeration -- What remains to be done The French expression "dessins d'enfants" means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics Polynomalgebra (DE-588)4297306-5 gnd rswk-swf Galois-Theorie (DE-588)4155901-0 gnd rswk-swf Dessins d'enfants (Mathematics) Arithmetical algebraic geometry Trees (Graph theory) Galois theory Polynomials Algebraic fields Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Dessins d'enfants, Belyĭ theory Combinatorics -- Graph theory -- Trees Combinatorics -- Graph theory -- Planar graphs; geometric and topological aspect Combinatorics -- Graph theory -- Signed and weighted graphs Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures Number theory -- Algebraic number theory: global fields -- Galois theory Field theory and polynomials -- General field theory -- Special polynomials Field theory and polynomials -- Computational aspects of field theory and polynomials -- Computational aspects of field theory and polynomials Group theory and generalizations -- Permutation groups -- Primitive groups Polynomalgebra (DE-588)4297306-5 s Galois-Theorie (DE-588)4155901-0 s DE-604 Pakovich, Fedor 1970- Sonstige oth Zvonkin, A. K. 1948- Sonstige oth Mathematical surveys and monographs 249 (DE-604)BV000018014 249 |
| spellingShingle | Adrianov, Nikolai M. 1973- Davenport-Zannier polynomials and dessins d'enfants Mathematical surveys and monographs Introduction -- Dessins d'enfants : from polynomials through Belyĭ functions to weighted trees -- Existence theorem -- Recapitulation and perspectives -- Classification of unitrees -- Computation of Davenport-Zannier pairs for unitrees -- Primitive monodromy groups of weighted trees -- Trees with primitive monodromy groups -- A zoo of examples and constructions -- Diophantine invariants -- Enumeration -- What remains to be done Polynomalgebra (DE-588)4297306-5 gnd Galois-Theorie (DE-588)4155901-0 gnd |
| subject_GND | (DE-588)4297306-5 (DE-588)4155901-0 |
| title | Davenport-Zannier polynomials and dessins d'enfants |
| title_auth | Davenport-Zannier polynomials and dessins d'enfants |
| title_exact_search | Davenport-Zannier polynomials and dessins d'enfants |
| title_full | Davenport-Zannier polynomials and dessins d'enfants Nikolai M. Adrianov, Fedor Pakovich, Alexander K. Zvonkin |
| title_fullStr | Davenport-Zannier polynomials and dessins d'enfants Nikolai M. Adrianov, Fedor Pakovich, Alexander K. Zvonkin |
| title_full_unstemmed | Davenport-Zannier polynomials and dessins d'enfants Nikolai M. Adrianov, Fedor Pakovich, Alexander K. Zvonkin |
| title_short | Davenport-Zannier polynomials and dessins d'enfants |
| title_sort | davenport zannier polynomials and dessins d enfants |
| topic | Polynomalgebra (DE-588)4297306-5 gnd Galois-Theorie (DE-588)4155901-0 gnd |
| topic_facet | Polynomalgebra Galois-Theorie |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT adrianovnikolaim davenportzannierpolynomialsanddessinsdenfants AT pakovichfedor davenportzannierpolynomialsanddessinsdenfants AT zvonkinak davenportzannierpolynomialsanddessinsdenfants |