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Cohomology and removable subsets
-
Alberto Saracco
and
Giuseppe Tomassini
Published/Copyright:
April 23, 2010
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-pseudoconcave and two flat (i.e. locally zero sets of pluriharmonic functions) hypersurfaces. Finiteness and vanishing cohomology theorems obtained in [Saracco and Tomassini, Math. Z. 256: 737–748, 2007, Bull. Sci. Math. 132: 232–245, 2008] for semi q-coronae are generalized in this context and lead to results on extension problems and removable sets for sections of coherent sheaves and analytic subsets.
Received: 2008-10-25
Revised: 2009-12-08
Published Online: 2010-04-23
Published in Print: 2011-September
© de Gruyter 2011
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Articles in the same Issue
- Quantum unique ergodicity of Eisenstein series on the Hilbert modular group over a totally real field
- On the self-intersection cycle of surfaces and some classical formulas for their secant varieties
- Wolff potentials and the 3-d wave operator
- Statistics for low-lying zeros of symmetric power L-functions in the level aspect
- Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra
- On the classification of fake lens spaces
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