科学研究
学术报告
On the Semistable Reductions of Hyperelliptic Curves
邀请人:李灵光
发布时间:2021-12-15浏览次数:

题目:On the Semistable Reductions of Hyperelliptic Curves

报告人:顾怡 副教授 (苏州大学)

地点:腾讯会议室

时间:2021年12月17日(星期五) 11:00-12:00

摘要:Given a surface fibration over ℂ of genus , the semistable reduction theorem asserts there is a finite morphism  so that the base change of over admits a semi-stable model. The smallest degree, denoted by , of all such is called the stable index of . An interesting question is to give a uniform upper bound of   only depending on . In the 1980s, Xiao Gang had given such an upper bound and asked whether his bound is optimum. In this talk, we will give the optimum upper bound of   for HYPERELLIPTIC and show that   for infinitely many . In particular, we show that Xiao’s upper bound is optimum for infinitely many . This is a joint work with C. Gong, J. Lu and P. Pollack.

腾讯会议:383-5163-6649

会议密码:202112

会议链接:https://meeting.tencent.com/dm/7x2K1cFJsUpl

欢迎各位参加!