Chow rings, decomposition of the diagonal, and the topology of families:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2014]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 187 |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Beschreibung: | In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by Voisin looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others |
| Beschreibung: | 1 Online-Ressource (176p.) |
| ISBN: | 9781400850532 |
| DOI: | 10.1515/9781400850532 |
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| 490 | 1 | |a Annals of Mathematics Studies |v number 187 | |
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| author | Voisin, Claire 1962- |
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| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400850532 |
| format | Electronic eBook |
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| id | DE-604.BV042523172 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:24:02Z |
| institution | BVB |
| isbn | 9781400850532 |
| language | English |
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| spelling | Voisin, Claire 1962- (DE-588)1075027810 aut Chow rings, decomposition of the diagonal, and the topology of families Claire Voisin Princeton, N.J. Princeton University Press [2014] © 2014 1 Online-Ressource (176p.) txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 187 In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by Voisin looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others In English Mathematik Algebraic varieties Decomposition (Mathematics) Homology theory MATHEMATICS / Geometry / General bisacsh MATHEMATICS / Group Theory bisacsh Erscheint auch als Druck-Ausgabe 978-0-691-16050-4 Annals of Mathematics Studies number 187 (DE-604)BV040389493 187 https://doi.org/10.1515/9781400850532?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Voisin, Claire 1962- Chow rings, decomposition of the diagonal, and the topology of families Annals of Mathematics Studies Mathematik Algebraic varieties Decomposition (Mathematics) Homology theory MATHEMATICS / Geometry / General bisacsh MATHEMATICS / Group Theory bisacsh |
| title | Chow rings, decomposition of the diagonal, and the topology of families |
| title_auth | Chow rings, decomposition of the diagonal, and the topology of families |
| title_exact_search | Chow rings, decomposition of the diagonal, and the topology of families |
| title_full | Chow rings, decomposition of the diagonal, and the topology of families Claire Voisin |
| title_fullStr | Chow rings, decomposition of the diagonal, and the topology of families Claire Voisin |
| title_full_unstemmed | Chow rings, decomposition of the diagonal, and the topology of families Claire Voisin |
| title_short | Chow rings, decomposition of the diagonal, and the topology of families |
| title_sort | chow rings decomposition of the diagonal and the topology of families |
| topic | Mathematik Algebraic varieties Decomposition (Mathematics) Homology theory MATHEMATICS / Geometry / General bisacsh MATHEMATICS / Group Theory bisacsh |
| topic_facet | Mathematik Algebraic varieties Decomposition (Mathematics) Homology theory MATHEMATICS / Geometry / General MATHEMATICS / Group Theory |
| url | https://doi.org/10.1515/9781400850532?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT voisinclaire chowringsdecompositionofthediagonalandthetopologyoffamilies |