Poisson structures and birational morphisms associated with bundles on elliptic curves

Details Poisson structures and birational morphisms associated with bundles on elliptic curves Poisson structures and birational morphisms associated with bundles on elliptic curves

1997-12-19

arxiv.org/abs/alg-geom/9712022v1

Mathematics

Algebraic Geometry

20 pages, AMSLatex

Scientific paper

In this paper we define a Poisson structure on some moduli spaces related to
principal G-bundles on elliptic curves, the simplest example being the moduli
space of stable pairs: a vector bundle and its global section. We also study
birational morphisms between projective spaces appearing as such moduli spaces.

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