INDECOMPOSABLE NON-HOLONOMIC $mathcal{D}$-MODULES IN DIMENSION $2$

Proceedings of the Edinburgh Mathematical Society

S. C. Coutinho¹ 

关键词: module;    ring of differential operators;    critical module;   

DOI  :  10.1017/S0013091501001018

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

A module of a ring of differential operators $mathcal{D}$ over a smooth surface has order $1$ if it is isomorphic to a factor module of $mathcal{D}$ by a cyclic ideal generated by an operator of order $1$. Let $k$ be a positive integer. We give conditions under which an indecomposable $mathcal{D}$-module of order $1$ is GK-critical of length $k$. We also give examples of indecomposable, non-critical, $mathcal{D}$-modules whose subfactors have order $1$.AMS 2000 Mathematics subject classification: Primary 16S32. Secondary 37F75

【 授权许可】

Unknown