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Compactification of the moduli space of rho-vortices

Published 2004-06-29, updated 2004-10-23Version 2

We consider the set of solutions to the rho-vortex equations over a Kahler surface and prove a Uhlenbeck compactness result, namely that a sequence of solutions with the same energy converge to the sum of a solution of smaller energy and deltas of Dirac.