Pure Hodge structure on the L₂-cohomology of varieties with isolated singularities

1997/11/03 by William Pardon, Pardon, William, Mark Stern +1
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #alg-geom #dg-ga #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.alg-geom/9711003

53 pages, amstex

arxiv created 1997/11/03 · arxiv updated 2009/11/30

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 L₂ harmonic theory and construct a pure Hodge structure on the L₂-cohomology of V. If the dimension of V is two, we put a cohomological Hodge structure on its complex of sheaves of L₂ forms.

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