Differential structure of Abelian functions

Koji Cho, Atsushi Nakayashiki

研究成果: Contribution to journalArticle

6 被引用数 (Scopus)

抄録

The space of Abelian functions of a principally polarized abelian variety (J,Θ) is studied as a module over the ring D of global holomorphic differential operators on J. We construct a D free resolution in case Θ is non-singular. As an application, in the case of dimensions 2 and 3, we construct a new linear basis of the space of abelian functions which are singular only on Θ in terms of logarithmic derivatives of the higher-dimensional σ-function.

本文言語英語
ページ(範囲)145-171
ページ数27
ジャーナルInternational Journal of Mathematics
19
2
DOI
出版ステータス出版済み - 2 1 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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