scholarly journals On certain exterior product maps of Chow groups

2000 ◽  
Vol 7 (2) ◽  
pp. 177-194 ◽  
Author(s):  
Chad Schoen
Keyword(s):  
Chow Groups ◽  
Exterior Product ◽  
Product Maps

Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187)

2017 ◽  
Author(s):  
Claire Voisin
Keyword(s):  
Recent Work ◽  
Chow Groups ◽  
Ring Structure ◽  
Complete Intersections ◽  
Algebraic Varieties ◽  
Chow Ring ◽  
Hodge Structures ◽  
Chow Rings ◽  
Geometric Methods ◽  
The Right

This book 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 book 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 the author. It 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 the author 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.

Parabolic invariant tori in quasi-periodically forced skew-product maps

2021 ◽  
Vol 277 ◽  
pp. 234-274
Author(s):  
Xinyu Guan ◽  
Jianguo Si ◽  
Wen Si
Keyword(s):  
Invariant Tori ◽  
Skew Product ◽  
Product Maps

scholarly journals On the first Steenrod square for Chow groups

2013 ◽  
Vol 135 (1) ◽  
pp. 53-63 ◽  
Author(s):  
Olivier Haution
Keyword(s):  
Chow Groups ◽  
Steenrod Square

scholarly journals A note on the dynamics of cyclically permuted direct product maps

2016 ◽  
Vol 203 ◽  
pp. 147-158 ◽  
Author(s):  
Antonio Linero Bas ◽  
Gabriel Soler López
Keyword(s):  
Direct Product ◽  
Product Maps

Chow groups of some generically twisted flag varieties

2017 ◽  
Vol 2 (2) ◽  
pp. 341-356 ◽  
Author(s):  
Nikita Karpenko
Keyword(s):  
Chow Groups ◽  
Flag Varieties

scholarly journals Chow groups of Châtelet surfaces over dyadic fields

2016 ◽  
Vol 46 (1) ◽  
pp. 123-133
Author(s):  
Takashi Hirotsu
Keyword(s):  
Chow Groups
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