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Chow Rings, Decomposition of the Diagonal, and the Topology of Families

Af: Claire Voisin Engelsk Paperback

Chow Rings, Decomposition of the Diagonal, and the Topology of Families

Af: Claire Voisin Engelsk Paperback
Tjek vores konkurrenters priser

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.

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Tjek vores konkurrenters priser

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.

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Produktdetaljer
Sprog: Engelsk
Sider: 176
ISBN-13: 9780691160511
Indbinding: Paperback
Udgave:
ISBN-10: 0691160511
Kategori: Mængdelære
Udg. Dato: 23 feb 2014
Længde: 11mm
Bredde: 158mm
Højde: 234mm
Forlag: Princeton University Press
Oplagsdato: 23 feb 2014
Forfatter(e): Claire Voisin
Forfatter(e) Claire Voisin

Kategori Mængdelære

ISBN-13 9780691160511

Sprog Engelsk

Indbinding Paperback

Sider 176

Udgave

Længde 11mm

Bredde 158mm

Højde 234mm

Udg. Dato 23 feb 2014

Oplagsdato 23 feb 2014

Forlag Princeton University Press

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