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所属单位：数学学院

发表刊物：International Mathematics Research Notices

摘要：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.

全部作者：徐泽

第一作者：徐泽

论文类型：基础研究

论文编号：A7FCB278F0894ADF889EAE638BC41CBC

学科门类：mathematics

文献类型：J

期号：3

页面范围：932-948

是否译文：否

发表时间：2018-02-01

收录刊物：SCI