Cohomology and removable subsets
Complex Variables
2008-02-04 v1
Abstract
Let X be a (connected and reduced) complex space. A q-collar of X is a bounded domain whose boundary is a union of a strongly q-pseudoconvex, a strongly q-pseudoncave and two flat (i.e. locally zero sets of pluriharmonic functions) hypersurfaces. Finiteness and vanishing cohomology theorems obtained in math/0503490 and math/0701549 for semi q-coronae are generalized in this context and lead to results on extension problem and removable sets for sections of coherent sheaves and analytic subsets.
Keywords
Cite
@article{arxiv.0802.0159,
title = {Cohomology and removable subsets},
author = {Alberto Saracco and Giuseppe Tomassini},
journal= {arXiv preprint arXiv:0802.0159},
year = {2008}
}
Comments
17 pages, 2 figures