Poincare polynomials of moduli spaces of stable bundles over curves

Details Poincare polynomials of moduli spaces of stable bundles over curves Poincare polynomials of moduli spaces of stable bundles over curves

2007-11-05

arxiv.org/abs/0711.0634v2

Mathematics

Algebraic Geometry

20 pages

Scientific paper

Given a curve over a finite field, we compute the number of stable bundles of
not necessarily coprime rank and degree over it. We apply this result to
compute the virtual Poincare polynomials of the moduli spaces of stable bundles
over a curve. A similar formula for the virtual Hodge polynomials and motives
is conjectured.

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