The Resource Chow rings, decomposition of the diagonal, and the topology of families, Claire Voisin
Chow rings, decomposition of the diagonal, and the topology of families, Claire Voisin
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The item Chow rings, decomposition of the diagonal, and the topology of families, Claire Voisin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Chow rings, decomposition of the diagonal, and the topology of families, Claire Voisin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 BlochBeilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a varietyand the partial BlochSrinivas type decompositions it may have depending on the size of Chow groupsas 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 hyperKähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others. Provided by publisher
 Language
 eng
 Extent
 viii, 162 pages
 Contents

 Introduction
 Review of Hodge theory and algebraic cycles
 Decomposition of the diagonal
 Chow groups of large coniveau complete intersections
 On the Chow ring of K3 surfaces and hyperKahler manifolds
 Integral coefficients
 Isbn
 9780691160504
 Label
 Chow rings, decomposition of the diagonal, and the topology of families
 Title
 Chow rings, decomposition of the diagonal, and the topology of families
 Statement of responsibility
 Claire Voisin
 Language
 eng
 Summary
 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 BlochBeilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a varietyand the partial BlochSrinivas type decompositions it may have depending on the size of Chow groupsas 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 hyperKähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others. Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1962
 http://library.link/vocab/creatorName
 Voisin, Claire
 Dewey number
 516.3/5
 Index
 index present
 LC call number
 QA564
 LC item number
 .V648 2014
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Annals of Mathematics studies
 Series volume
 number 187
 http://library.link/vocab/subjectName

 Algebraic varieties
 Decomposition (Mathematics)
 Homology theory
 Label
 Chow rings, decomposition of the diagonal, and the topology of families, Claire Voisin
 Bibliography note
 Includes bibliographical references (pages 155162) and index
 Carrier category
 volume
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type MARC source
 rdacontent.
 Contents
 Introduction  Review of Hodge theory and algebraic cycles  Decomposition of the diagonal  Chow groups of large coniveau complete intersections  On the Chow ring of K3 surfaces and hyperKahler manifolds  Integral coefficients
 Control code
 852745692
 Dimensions
 24 cm
 Extent
 viii, 162 pages
 Isbn
 9780691160504
 Isbn Type
 (cloth : alk. paper)
 Lccn
 2013016992
 Media category
 unmediated
 Media MARC source
 rdamedia.
 System control number
 (OCoLC)852745692
 Label
 Chow rings, decomposition of the diagonal, and the topology of families, Claire Voisin
 Bibliography note
 Includes bibliographical references (pages 155162) and index
 Carrier category
 volume
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type MARC source
 rdacontent.
 Contents
 Introduction  Review of Hodge theory and algebraic cycles  Decomposition of the diagonal  Chow groups of large coniveau complete intersections  On the Chow ring of K3 surfaces and hyperKahler manifolds  Integral coefficients
 Control code
 852745692
 Dimensions
 24 cm
 Extent
 viii, 162 pages
 Isbn
 9780691160504
 Isbn Type
 (cloth : alk. paper)
 Lccn
 2013016992
 Media category
 unmediated
 Media MARC source
 rdamedia.
 System control number
 (OCoLC)852745692
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Chowringsdecompositionofthediagonaland/6dqXaJGatvs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Chowringsdecompositionofthediagonaland/6dqXaJGatvs/">Chow rings, decomposition of the diagonal, and the topology of families, Claire Voisin</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>