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Institution:数学学院

Title of Paper:Algebraic Cycles on a Generalized Kummer Variety

Journal:International Mathematics Research Notices

Summary:We compute explicitly the Chow motive of any generalized Kummer variety associated to any abelian surface. In fact, it lies in the rigid tensor subcategory of the category of Chow motives generated by the Chow motive of the underlying abelian surface. One application of this calculation is to show that the Hodge conjecture holds for arbitrary products of generalized Kummer varieties. As another application, all numerically trivial 1-cycles on arbitrary products of generalized Kummer varieties are smash-nilpotent.

First Author:XU Ze

All the Authors:XU Ze

Document Code:A7FCB278F0894ADF889EAE638BC41CBC

Discipline:mathematics

Document Type:J

Issue:3

Page Number:932-948

DOI Number:10.1093/imrn/rnw266

Translation or Not:No

Date of Publication:2018-02

Included Journals:SCI

Links to Published Journals:https://academic.oup.com/imrn/article/2018/3/932/2739391?login=true

Release Time:2019-10-30