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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/252Let $V$ 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.53 pages, amstexAlgebraic GeometryDifferential GeometryPure Hodge structure on the $L_2$-cohomology of varieties with isolated singularitiestext