Cohomology pairings on singular quotients in geometric invariant theory
Abstract
In this paper we shall give formulas for the pairings of intersection cohomology classes of complementary dimensions in the intersection cohomology of geometric invariant theoretic quotients for which semistability is not necessarily the same as stability (although we make some weaker assumptions on the action). We also give formulas for intersection pairings on resolutions of singularities (or more precisely partial resolutions, since orbifold singularities are allowed) of the quotients.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2001
 arXiv:
 arXiv:math/0101079
 Bibcode:
 2001math......1079J
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Symplectic Geometry
 EPrint:
 49 pages, LaTeX23