中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：徐 泽 博士(北京国际数学研究中心）
题 目：Algebraic cycles on generalized Kummer varieties
时 间：07.02(星期四)16:00-17:00
地 点：数学院南楼N913室
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-nipotent.
