Birational Equivalences of Vortex Moduli

Details Birational Equivalences of Vortex Moduli Birational Equivalences of Vortex Moduli

1993-04-06

arxiv.org/abs/alg-geom/9304001v2

Mathematics

Algebraic Geometry

40 pages in Plain TeX (same as the original, but with TeXnical errors removed)

Scientific paper

We construct a finite dimensional Kaehler manifold with a holomorphic, symplectic circle action whose symplectic reduced spaces may be identified with the tau-vortex moduli spaces (or tau-stable pairs). The Morse theory of the circle action induces natural birational maps between the reduced spaces for different values of tau which in the case of rank two bundles can be canonically resolved in a sequence of blow-ups and blow-downs.

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