Period mappings and period domains:
This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes tha...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
|
| Ausgabe: | Second edition. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
168 |
| Links: | https://doi.org/10.1017/9781316995846 |
| Zusammenfassung: | This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kähler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford-Tate groups and their associated domains, the Mumford-Tate varieties and generalizations of Shimura varieties. |
| Umfang: | 1 Online-Ressource (xiv, 562 Seiten) |
| ISBN: | 9781316995846 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781316995846 | ||
| 003 | UkCbUP | ||
| 005 | 20170907110728.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 160725s2017||||enk o ||1 0|eng|d | ||
| 020 | |a 9781316995846 | ||
| 100 | 1 | |a Carlson, James A. |d 1946- | |
| 245 | 1 | 0 | |a Period mappings and period domains |c James Carlson, Stefan Müller-Stach, Chris Peters |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2017 | |
| 300 | |a 1 Online-Ressource (xiv, 562 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 168 | |
| 520 | |a This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kähler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford-Tate groups and their associated domains, the Mumford-Tate varieties and generalizations of Shimura varieties. | ||
| 700 | 1 | |a Müller-Stach, Stefan |d 1962- | |
| 700 | 1 | |a Peters, Chris | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781108422628 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781316639566 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/9781316995846 |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-CR9781316995846 |
|---|---|
| _version_ | 1825574048186236928 |
| adam_text | |
| any_adam_object | |
| author | Carlson, James A. 1946- |
| author2 | Müller-Stach, Stefan 1962- Peters, Chris |
| author2_role | |
| author2_variant | s m s sms c p cp |
| author_facet | Carlson, James A. 1946- Müller-Stach, Stefan 1962- Peters, Chris |
| author_role | |
| author_sort | Carlson, James A. 1946- |
| author_variant | j a c ja jac |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| edition | Second edition. |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01981nam a2200301 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781316995846</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20170907110728.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">160725s2017||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316995846</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Carlson, James A.</subfield><subfield code="d">1946-</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Period mappings and period domains</subfield><subfield code="c">James Carlson, Stefan Müller-Stach, Chris Peters</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2017</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiv, 562 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="490" ind1="1" ind2=" "><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">168</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kähler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford-Tate groups and their associated domains, the Mumford-Tate varieties and generalizations of Shimura varieties.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Müller-Stach, Stefan</subfield><subfield code="d">1962-</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Peters, Chris</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">9781108422628</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">9781316639566</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/10.1017/9781316995846</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-CR9781316995846 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:02Z |
| institution | BVB |
| isbn | 9781316995846 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xiv, 562 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Carlson, James A. 1946- Period mappings and period domains James Carlson, Stefan Müller-Stach, Chris Peters Second edition. Cambridge Cambridge University Press 2017 1 Online-Ressource (xiv, 562 Seiten) txt c cr Cambridge studies in advanced mathematics 168 This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kähler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford-Tate groups and their associated domains, the Mumford-Tate varieties and generalizations of Shimura varieties. Müller-Stach, Stefan 1962- Peters, Chris Erscheint auch als Druck-Ausgabe 9781108422628 Erscheint auch als Druck-Ausgabe 9781316639566 |
| spellingShingle | Carlson, James A. 1946- Period mappings and period domains |
| title | Period mappings and period domains |
| title_auth | Period mappings and period domains |
| title_exact_search | Period mappings and period domains |
| title_full | Period mappings and period domains James Carlson, Stefan Müller-Stach, Chris Peters |
| title_fullStr | Period mappings and period domains James Carlson, Stefan Müller-Stach, Chris Peters |
| title_full_unstemmed | Period mappings and period domains James Carlson, Stefan Müller-Stach, Chris Peters |
| title_short | Period mappings and period domains |
| title_sort | period mappings and period domains |
| work_keys_str_mv | AT carlsonjamesa periodmappingsandperioddomains AT mullerstachstefan periodmappingsandperioddomains AT peterschris periodmappingsandperioddomains |