Some L2 results for $\overline\partial$ on projective varieties with general singularities

• Autores: Nils Ovrelid, Sophia Vassiliadou
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 131, Nº 1, 2009, págs. 129-152
• Idioma: inglés
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• Resumen

  • Let $X$ be an irreducible $n$-dimensional projective variety in ${\Bbb C}P^N$ with arbitrary singular locus. We prove that the $L^2$-$\overline\partial$-$(p,1)$-cohomology groups (with respect to the Fubini-Study metric) of the regular part of $X$ are finite dimensional