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arxiv: math/0610569 · v1 · submitted 2006-10-18 · 🧮 math.CV

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

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keywords d-barprojectivearbitrarycohomologydimensionalfinitefubini-studygeneral
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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.

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