Analytic functions on Zariski open sets, and local cohomology

Authors
Kisin, M
Citation
M. Kisin, Analytic functions on Zariski open sets, and local cohomology, J REIN MATH, 506, 1999, pp. 117-144
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN journal
00754102 → ACNP
Volume
506
Year of publication
1999
Pages
117 - 144
Database
ISI
SICI code
0075-4102(19990115)506:<117:AFOZOS>2.0.ZU;2-E
Abstract
We give a new proof of a theorem of Siu and Trautmann on the vanishing of c ohomology with support on complex or rigid analytic spaces. We indicate how our methods might be used to prove various comparison theorems in algebrai c and analytic geometry.