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COHOMOLOGY OF SEMI 1-CORONAE AND EXTENSION OF ANALYTIC SUBSETS
 

Summary: COHOMOLOGY OF SEMI 1-CORONAE AND
EXTENSION OF ANALYTIC SUBSETS
ALBERTO SARACCO,
GIUSEPPE TOMASSINI
Contents
1. Introduction and notations 1
2. Remarks on the proofs of theorems in [12] 3
3. An isomorphism theorem for semi 1-coronae 5
3.1. Bump lemma: surjectivity of cohomology 6
3.2. Approximation 8
4. Extension of coherent sheaves and analytic subsets 13
References 15
1. Introduction and notations
Let X be a (connected and reduced) complex space. We recall that
X is said to be strongly q-pseudoconvex in the sense of Andreotti-
Grauert [1] if there exists a compact subset K and a smooth function
: X R, 0, which is strongly q-plurisubharmonic on X \K and
such that
a) for every b > max
K

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics