学术活动
数论与代数几何讨论班:On K_2 of certain families of curves
2015-06-04
点击次数:主 讲 人:刘杭 博士(中国科学院大学)
时 间: 2015年6月4日(周四)10:30-11:30
地 点: 必赢76net线路官网北二区教学楼 513 教室
主 办 单 位: 必赢76net线路官网数学科学学院
内 容 介 绍:We construct families of smooth, proper, algebraic curves in characteristic 0, of arbitrary genus g, together with g elements in the kernel of the tame symbol. We show that those elements are in general independent by a limit calculation of the regulator. Working over a number field, we show that in some of those families the elements are integral. We determine when those curves are hyperelliptic, finding, in particular, that over any number field we have nonhyperelliptic curves of all composite genera g with g independent integral elements in the kernel of the tame symbol. We also give families of elliptic curves over real quadratic fields with two independent integral elements.