代數函數與Abelian函數 pdf epub mobi txt 電子書 下載 2024


代數函數與Abelian函數

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萊恩
世界圖書齣版公司
2009-8
169
25.00元
Graduate Texts in Mathematics
9787510004872

圖書標籤: 數學  數論  分析  代數幾何  代數  Math  GTM   


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发表于2024-12-24

代數函數與Abelian函數 epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

代數函數與Abelian函數 epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

代數函數與Abelian函數 pdf epub mobi txt 電子書 下載 2024



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《代數函數與Abelian函數(第2版)(英文版)》講述瞭:This short book gives an introduction to algebraic and abelian functions, withemphasis on the complex analytic point of view. It could be used for a course or seminar addressed to second year graduate students.

The goal is the same as that of the first edition, although I have made a number of additions. I have used the Weil proof of the Riemann-Roch the orem since it is efficient and acquaints the reader with adeles, which are a very useful tool pervading number theory.

The proof of the Abel-Jacobi theorem is that given by Artin in a seminar in 1948. As far as I know, the very simple proof for the Jacobi inversion theorem is due to him. The Riemann-Roch theorem and the Abel-Jacobi theorem could form a one semester course.

The Riemann relations which come at the end of the treatment of Jacobi's theorem form a bridge with the second part which deals with abelian functionsand theta functions. In May 1949, Weil gave a boost to the basic theory of  theta functions in a famous Bourbaki seminar talk. I have followed his exposition of a proof of Poincare that to each divisor on acomplex torus therecorresponds a theta function on the universal covering space. However, the correspondence between divisors and theta functions is not needed for the linear theory of theta functions and the projective embedding of the torus when there exists a positive non-degenerate Riemann form. Therefore I have given the proof of existence of a theta function corresponding to a divisor only in the last chapter, so that it does not interfere, with the self-contained treat- ment of the linear theory.

代數函數與Abelian函數 下載 mobi epub pdf txt 電子書

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