The Arakelov Class Group

PIMS CRG in Explicit Methods for Abelian Varieties

授课人:Ha Tran

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    The Arakelov Class Group;    Algebra and Number Theory;   

加拿大|英语

【 摘 要 】

Let F be a number field. The Arakelov class group Pic_0 F of F is an analog to the Picard group of a curve. This group provides us the information of F such as the class number h_F, the class group Cl(F) and the regulator R_F. In this talk, we will first introduce Pic_0 F then show that how this group gives us the information of F. Next, we will discuss a tool to compute this group-reduced Arakelov divisors- and their properties. Finally, some open problems relating to this topic will be presented.See the event webpage for more information.

【 授权许可】

CC BY-NC-ND   
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