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arXiv · 1005.1972

D-module structure of local cohomology modules of toric algebras

Jen-Chieh Hsiao
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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.

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Jen-Chieh Hsiao. 2010-05-11. D-module structure of local cohomology modules of toric algebras. https://arxiv.org/abs/1005.1972

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