Pure Hodge structure on the $L_2$cohomology of varieties with isolated singularities
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.
 Publication:

arXiv eprints
 Pub Date:
 November 1997
 DOI:
 10.48550/arXiv.alggeom/9711003
 arXiv:
 arXiv:alggeom/9711003
 Bibcode:
 1997alg.geom.11003P
 Keywords:

 Algebraic Geometry;
 Differential Geometry;
 Mathematics  Algebraic Geometry;
 Mathematics  Differential Geometry
 EPrint:
 53 pages, amstex