Chow Rings Decomposition of the Diagonal & the Topology of Families

Claire Voisin

Published by PRINCETON UNIVERSITY PRESS, 2014
ISBN 10: 0691160511 / ISBN 13: 9780691160511
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TRADE PAPERBACK Legendary independent bookstore online since 1994. Reliable customer service and no-hassle return policy. Languages>Foreign Languages>Spanish>Science and Mathematics>Mathematics>Topology. Book: USED, Good. Bookseller Inventory # 17978069116051100. Bookseller Inventory #

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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.

About the Author: Claire Voisin has been a senior researcher at France's National Center for Scientific Research since 1986.

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Title: Chow Rings Decomposition of the Diagonal & ...
Publisher: PRINCETON UNIVERSITY PRESS
Publication Date: 2014
Binding: Trade Paperback
Book Condition: Good

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Book Description Princeton University Press, United States, 2014. Paperback. Book Condition: New. Language: English . Brand New Book. 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-Kahler manifolds. In particular, the book delves into arguments originating in Nori s work that have been further developed by others. Bookseller Inventory # AAC9780691160511

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Book Description Princeton University Press, United States, 2014. Paperback. Book Condition: New. Language: English . Brand New Book. 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-Kahler manifolds. In particular, the book delves into arguments originating in Nori s work that have been further developed by others. Bookseller Inventory # AAC9780691160511

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