Degeneration of SL(n)-bundles on a reducible curve

2001/12/07 by Xiaotao Sun, Sun, Xiaotao
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0112072

12 pages, amstex

arxiv created 2001/12/07 · arxiv updated 2009/11/30

Abstract

We constructed a projective moduli space of semistable torsion free sheaves with `fixed determinant' on a reducible curve. When a family of smooth curves degenerates to the reducible curve, our moduli space is a degeneration of the moduli spaces of semistable vector bundles with a fixed determinant on the smooth curves. Moreover, the moduli space is reduced and seminormal.

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