Cohomology and removable subsets

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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.
17 pages, 2 figures

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Complex Variables, Primary 32D15, 32D20 Secondary 32C25, 32F10

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http://salesiana.dossiersoluciones.com/handle/123456789/153966

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.0159
 http://arxiv.org/abs/0802.0159

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arXiv