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Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton University Press,
2014.
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| Colección: | Annals of mathematics studies.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn922907319 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 151017s2014 xx ob 001 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCO |d OCLCQ |d MERUC |d ZCU |d ICG |d OCLCO |d OCLCF |d OCLCQ |d OCLCO |d OCLCQ |d DKC |d AU@ |d OCLCQ |d HS0 |d OCLCQ |d SNU |d VLY |d OCLCO |d OCLCQ |d LUN |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 1162388695 |a 1171060160 | ||
| 020 | |a 9780691160504 | ||
| 020 | |a 0691160503 | ||
| 020 | |a 1400850533 | ||
| 020 | |a 9781400850532 | ||
| 035 | |a (OCoLC)922907319 |z (OCoLC)1162388695 |z (OCoLC)1171060160 | ||
| 050 | 4 | |a QA564 .V648 2013 | |
| 082 | 0 | 4 | |a 516.35 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Voisin, Claire. | |
| 245 | 1 | 0 | |a Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187). |
| 260 | |b Princeton University Press, |c 2014. | ||
| 300 | |a 1 online resource (172 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of Mathematics Studies | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover -- Title -- Copyright -- Contents -- Preface -- 1 Introduction -- 1.1 Decomposition of the diagonal and spread -- 1.2 The generalized Bloch conjecture -- 1.3 Decomposition of the small diagonal and application to the topology of families -- 1.4 Integral coefficients and birational invariants -- 1.5 Organization of the text -- 2 Review of Hodge theory and algebraic cycles -- 2.1 Chow groups -- 2.2 Hodge structures -- 3 Decomposition of the diagonal -- 3.1 A general principle -- 3.2 Varieties with small Chow groups | |
| 505 | 8 | |a ""4 Chow groups of large coniveau complete intersections""""4.1 Hodge coniveau of complete intersections""; ""4.2 Coniveau 2 complete intersections""; ""4.3 Equivalence of generalized Bloch and Hodge conjectures for general complete intersections""; ""4.4 Further applications to the Bloch conjecture on 0-cycles on surfaces""; ""5 On the Chow ring of K3 surfaces and hyper-KÃ?hler manifolds""; ""5.1 Tautological ring of a K3 surface""; ""5.2 A decomposition of the small diagonal""; ""5.3 Deligne's decomposition theorem for families of K3 surfaces""; ""6 Integral coefficients"" | |
| 505 | 8 | |a ""6.1 Integral Hodge classes and birational invariants""""6.2 Rationally connected varieties and the rationality problem""; ""6.3 Integral decomposition of the diagonal and the structure of the Abel�Jacobi map""; ""Bibliography""; ""Index"" | |
| 520 | |a 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 dependi. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Algebraic varieties. | |
| 650 | 0 | |a Decomposition (Mathematics) | |
| 650 | 0 | |a Homology theory. | |
| 650 | 6 | |a Variétés algébriques. | |
| 650 | 6 | |a Décomposition (Mathématiques) | |
| 650 | 6 | |a Homologie. | |
| 650 | 7 | |a Algebraic varieties |2 fast | |
| 650 | 7 | |a Decomposition (Mathematics) |2 fast | |
| 650 | 7 | |a Homology theory |2 fast | |
| 650 | 7 | |a Mathematics. |2 hilcc | |
| 650 | 7 | |a Physical Sciences & Mathematics. |2 hilcc | |
| 650 | 7 | |a Geometry. |2 hilcc | |
| 758 | |i has work: |a Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) (Text) |1 https://id.oclc.org/worldcat/entity/E39PD3H9Mcm44f7dw4bwdc47wP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Voisin, Claire. |t Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187). |d : Princeton University Press, ©2014 |z 9780691160504 |
| 830 | 0 | |a Annals of mathematics studies. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1561563 |z Texto completo |
| 936 | |a BATCHLOAD | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1561563 | ||
| 994 | |a 92 |b IZTAP | ||