Hodge polynomials and birational types of moduli spaces of coherent systems on elliptic curves

Details Hodge polynomials and birational types of moduli spaces of coherent systems on elliptic curves Hodge polynomials and birational types of moduli spaces of coherent systems on elliptic curves

2008-10-08

arxiv.org/abs/0810.1425v2

Mathematics

Algebraic Geometry

Minor corrections and improvements in presentation; no changes to mathematical content. Final version to appear in Manuscripta

Scientific paper

In this paper we consider moduli spaces of coherent systems on an elliptic
curve. We compute their Hodge polynomials and determine their birational types
in some cases. Moreover we prove that certain moduli spaces of coherent systems
are isomorphic. This last result uses the Fourier-Mukai transform of coherent
systems introduced by Hern\'andez Ruiperez and Tejero Prieto.

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