3264 and all that: a second course in algebraic geometry
This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ide...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Links: | https://doi.org/10.1017/CBO9781139062046 |
| Zusammenfassung: | This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics. |
| Umfang: | 1 Online-Ressource (xiv, 616 Seiten) |
| ISBN: | 9781139062046 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781139062046 | ||
| 003 | UkCbUP | ||
| 005 | 20160316134713.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 110419s2016||||enk o ||1 0|eng|d | ||
| 020 | |a 9781139062046 | ||
| 100 | 1 | |a Eisenbud, David | |
| 245 | 1 | 0 | |a 3264 and all that |b a second course in algebraic geometry |c David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts |
| 246 | 3 | |a 3264 & All That | |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2016 | |
| 300 | |a 1 Online-Ressource (xiv, 616 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 520 | |a This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics. | ||
| 700 | 1 | |a Harris, Joe |d 1951- | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107017085 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107602724 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/CBO9781139062046 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781139062046 |
|---|---|
| _version_ | 1825574048511295489 |
| adam_text | |
| any_adam_object | |
| author | Eisenbud, David |
| author2 | Harris, Joe 1951- |
| author2_role | |
| author2_variant | j h jh |
| author_facet | Eisenbud, David Harris, Joe 1951- |
| author_role | |
| author_sort | Eisenbud, David |
| author_variant | d e de |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01991nam a2200277 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781139062046</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20160316134713.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">110419s2016||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139062046</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Eisenbud, David</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">3264 and all that</subfield><subfield code="b">a second course in algebraic geometry</subfield><subfield code="c">David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts</subfield></datafield><datafield tag="246" ind1="3" ind2=" "><subfield code="a">3264 & All That</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiv, 616 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Harris, Joe</subfield><subfield code="d">1951-</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107017085</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107602724</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/CBO9781139062046</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781139062046 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:02Z |
| institution | BVB |
| isbn | 9781139062046 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xiv, 616 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Eisenbud, David 3264 and all that a second course in algebraic geometry David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts 3264 & All That Cambridge Cambridge University Press 2016 1 Online-Ressource (xiv, 616 Seiten) txt c cr This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics. Harris, Joe 1951- Erscheint auch als Druck-Ausgabe 9781107017085 Erscheint auch als Druck-Ausgabe 9781107602724 |
| spellingShingle | Eisenbud, David 3264 and all that a second course in algebraic geometry |
| title | 3264 and all that a second course in algebraic geometry |
| title_alt | 3264 & All That |
| title_auth | 3264 and all that a second course in algebraic geometry |
| title_exact_search | 3264 and all that a second course in algebraic geometry |
| title_full | 3264 and all that a second course in algebraic geometry David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts |
| title_fullStr | 3264 and all that a second course in algebraic geometry David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts |
| title_full_unstemmed | 3264 and all that a second course in algebraic geometry David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts |
| title_short | 3264 and all that |
| title_sort | 3264 and all that a second course in algebraic geometry |
| title_sub | a second course in algebraic geometry |
| work_keys_str_mv | AT eisenbuddavid 3264andallthatasecondcourseinalgebraicgeometry AT harrisjoe 3264andallthatasecondcourseinalgebraicgeometry AT eisenbuddavid 3264allthat AT harrisjoe 3264allthat |