开放课件详细信息
PIMS CRG in Explicit Methods for Abelian Varieties | |
The Arakelov Class Group | |
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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RO201805250000327SX.mp4 | KB | MovingImage | download |