W. Pardon

collaborators

2 papers

math.DG1998

Chern classes of modular varieties

Mark Goresky, William Pardon

Let X be a Hermitian locally symmetric space. We prove that every Chern class of X has a canonical lift to the cohomology of the Baily- Borel-Satake compactification X* of X and th…

alg-geom1997

Pure Hodge structure on the $L_{2}$ -cohomology of varieties with isolated singularities

William Pardon, Mark Stern

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 t…

Chern classes of modular varieties

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

Pure Hodge structure on the $L_{2}$ -cohomology of varieties with isolated singularities