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Some L2 results for d-bar on projective varieties with general singularities

Nils Ovrelid, Sophia Vassiliadou

math.CVarXiv:math/0610569

Abstract

Let X be an irreducible n-dimensional projective variety in CPN with arbitrary singular locus. We prove that the L2-(p,1)-d-bar cohomology groups (with respect to the Fubini-Study metric) of the regular part of X are finite dimensional.

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