D-module structure of local cohomology modules of toric algebras
Algebraic Geometry
2010-05-13 v1 Commutative Algebra
Abstract
Let S be a toric algebra over a field K of characteristic 0 and let I be a monomial ideal of S. We show that the local cohomology modules H^i_I(S) are of finite length over the ring of differential operators D(S;K), generalizing the classical case of a polynomial algebra S. As an application, we compute the characteristic cycles of some local cohomology modules.
Cite
@article{arxiv.1005.1972,
title = {D-module structure of local cohomology modules of toric algebras},
author = {Jen-Chieh Hsiao},
journal= {arXiv preprint arXiv:1005.1972},
year = {2010}
}