All Books Sale Books Course Books Events & News Stores Sale Books Sale Books Course Books Course Books Course Books Events & News Events & News Events & News Stores
twitter
All Books
on our tables
new releases
best sellers
Browse the Labyrinth...
African American Studies
African Studies
Anthropology & Archaeology
Architecture
Art
Asian Studies
Biography
Children's Books
Christianity
Classical Studies
Cognitive Sciences
Cultural Studies
Current Events
Design & Fashion
Eastern European Studies
Eastern Religion & Philosophy
Economics
Education
Environmental Studies
European History & Politics
Film & Media
Food & Cooking
Foreign Language
Gay & Lesbian Studies
General History & Historiography
Home, Garden & Crafts
Islamic Studies
Jewish Studies
Labor Studies
Latin Am. & Caribbean Studies
Law & Legal Studies
Linguistics & Languages
Literary Theory & Criticism
Literature
Marxist Studies
Medical & Health Studies
Middle Eastern Studies
Music & Dance
Mythology
Native American Studies
Natural History & Nature
No export
Philosophy
Photography
Political Philosophy
Political Science
Psychoanalysis
Psychology
Reference
Religion
S. Asian Studies & Oceania
Sciences
Sociology
Stationery
Technology, Computers & Engineering
Trade Fiction
Trade Non-fiction
Travel
U.S. History & Politics
Urban Studies & Geography
Women's Studies
Title Details
Chow Rings, Decomposition of the Diagonal, and the Topology of Families by Voisin, Claire
Chow Rings, Decomposition of the Diagonal, and the Topology of Families
by Voisin, Claire
 

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.

 
Published 20140223 by Princeton, Paperback, 176 Pages, ISBN: 9780691160511, ISBN-10: 0691160511, List Price $82.50.

Buy New - $52.98 (save $29.52)
 Add to Wish List

Other books by Voisin, Claire
Other books in Mathematics
 
 
Inventory Snapshot
Warehouse --> New for $52.98
All Books Sale Books Course Books Events & News Stores All Books Sale Books Course Books All Books All Books Course Books Course Books help policies contact
All Books on our tables new releases
best sellers