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

Ovrelid, Nils; Vassiliadou, Sophia

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

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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.
19 pages

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Complex Variables, 32B10, 32J25, 32W05, 14C30

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http://salesiana.dossiersoluciones.com/handle/123456789/118012

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610569
http://arxiv.org/abs/math/0610569

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

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