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Pure Hodge structure on the $L_2$-cohomology of varieties with isolated singularities

William Pardon·Mark Stern
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Abstract

Let $V$ be a complex projective variety with isolated singularities. Let the smooth part be given the metric induced by a projective imbedding. Then we develop the $L_2$ harmonic theory and construct a pure Hodge structure on the $L_2$-cohomology of $V$. If the dimension of $V$ is two, we put a cohomological Hodge structure on its complex of sheaves of $L_2$ forms.

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BibTeXRIS

William Pardon, Mark Stern. 1997-11-03. Pure Hodge structure on the $L_2$-cohomology of varieties with isolated singularities. https://arxiv.org/abs/alg-geom/9711003

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