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

Authors: John Erik Fornæss, Nils Øvrelid and Sophia Vassiliadou
Journal: Proc. Amer. Math. Soc. 133 (2005), 2377-2386
MSC (2000): Primary 32B10, 32J25, 32W05, 14C30
Published electronically: March 22, 2005
MathSciNet review: 2138880
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Abstract: We obtain some $L^2$-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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Additional Information

John Erik Fornæss
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109

Nils Øvrelid
Affiliation: Department of Mathematics, University of Oslo, P.B 1053 Blindern, Oslo, N-0316 Norway

Sophia Vassiliadou
Affiliation: Department of Mathematics, Georgetown University, Washington, DC 20057

Keywords: Cauchy-Riemann equation, singularity, cohomology groups
Received by editor(s): March 19, 2004
Published electronically: March 22, 2005
Communicated by: Mei-Chi Shaw
Article copyright: © Copyright 2005 American Mathematical Society