Simple D-module components of local cohomology modules
Algebraic Geometry
2016-06-07 v1
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.
Keywords
Cite
@article{arxiv.1606.01278,
title = {Simple D-module components of local cohomology modules},
author = {Claudia Polini and Robin Hartshorne},
journal= {arXiv preprint arXiv:1606.01278},
year = {2016}
}
Comments
22 pages