Proceedings of the American Mathematical Society

Semiglobal results for $\overline\partial$ on a complex space with arbitrary singularities

Author(s): John Erik Fornæss; Nils Øvrelid; Sophia Vassiliadou
Journal: Proc. Amer. Math. Soc. 133 (2005), 2377-2386.
MSC (2000): Primary 32B10, 32J25, 32W05, 14C30
Posted: March 22, 2005
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Abstract: We obtain some

-results for the $\overline\partial$ operator on forms that vanish to high order on the singular set of a complex space.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32B10, 32J25, 32W05, 14C30

John Erik Fornæss
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
Email: fornaess@umich.edu

Nils Øvrelid
Affiliation: Department of Mathematics, University of Oslo, P.B 1053 Blindern, Oslo, N-0316 Norway
Email: nilsov@math.uio.no

Sophia Vassiliadou
Affiliation: Department of Mathematics, Georgetown University, Washington, DC 20057
Email: sv46@georgetown.edu

DOI: 10.1090/S0002-9939-05-07963-3
PII: S 0002-9939(05)07963-3
Keywords: Cauchy-Riemann equation, singularity, cohomology groups
Received by editor(s): March 19, 2004
Posted: March 22, 2005
Communicated by: Mei-Chi Shaw
Copyright of article: Copyright 2005, American Mathematical Society

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