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arXiv · 1606.01278

Simple D-module components of local cohomology modules

Claudia Polini·Robin Hartshorne
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Abstract

For a projective variety V in P^n over a field of characteristic zero, with homogeneous ideal I in A = k[x0,x1,...,xn], 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 these simple components in terms of the Betti numbers of V.

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Claudia Polini, Robin Hartshorne. 2016-06-03. Simple D-module components of local cohomology modules. https://arxiv.org/abs/1606.01278

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