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Affiliation of Author(s):数学学院

Journal:International Mathematics Research Notices

Abstract: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.

All the Authors:XU Ze

First Author:XU Ze

Indexed by:Unit Twenty Basic Research

Document Code:A7FCB278F0894ADF889EAE638BC41CBC

Discipline:mathematics

Document Type:J

Issue:3

Page Number:932-948

Translation or Not:no

Date of Publication:2018-02-01

Included Journals:SCI