题目：p-primary torsion of the Brauer group

报告人：杨远 北京国际数学研究中心

时间：2025年12月3日（周三）下午16：00-17：00

地点：第五教学楼5206

摘要：Let X be a proper smooth variety over an algebraically closed field k of characteristic p. We show that the p-primary component of the Brauer group Br(X) decomposes (non canonically) as a direct sum of a p-divisible group of finite corank and a finite-exponent group. The latter is an extension of a finite group by the group of k-points of a unipotent algebraic group U over k. For abelian threefolds when p is not 2, we determine the isogeny class of U.