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

Xiaotao Sun
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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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Xiaotao Sun. 2001-12-07. Degeneration of SL(n)-bundles on a reducible curve. https://arxiv.org/abs/math/0112072

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