Birational Equivalences of Vortex Moduli
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.alg-geom/9304001,
title = {Birational Equivalences of Vortex Moduli},
author = {S. Bradlow and G. Daskalopoulos and R. Wentworth},
journal= {arXiv preprint arXiv:alg-geom/9304001},
year = {2008}
}
Comments
40 pages in Plain TeX (same as the original, but with TeXnical errors removed)