Simple D-module components of local cohomology modules

JOURNAL OF ALGEBRA

卷:571

Article

Hartshorne, Robin¹  Polini, Claudia² 

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

关键词: D-modules;    Local cohomology;    de Rham cohomology;   

DOI  :  10.1016/j.jalgebra.2018.09.005

来源: Elsevier

【 摘 要 】

For a projective variety V subset of P-k(n) over a field of characteristic zero, with homogeneous ideal I in A = k[x(0), ..., x(n)], we consider the local cohomology modules H-I(i) (A). These have a structure of holonomic D-module over A, and we investigate their filtration by simple D-modules. In case V is nonsingular, we can describe completely the simple D-module components of H-I(i) (A) for all i, in terms of the Betti numbers of V. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free