Hodge polynomials and birational types of moduli spaces of coherent systems on elliptic curves
Abstract
Description
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 Hernández Ruiperez and Tejero Prieto.
Minor corrections and improvements in presentation; no changes to mathematical content. Final version to appear in Manuscripta Math
Minor corrections and improvements in presentation; no changes to mathematical content. Final version to appear in Manuscripta Math