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

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

2006-10-18

arxiv.org/abs/math/0610569v1

Mathematics

Complex Variables

19 pages

Scientific paper

Let X be an irreducible n-dimensional projective variety in CP^N 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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