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On A Relative Mumford-Newstead Theorem

In this paper we prove a relative version of the classical Mumford-Newstead theorem for a family of smooth curves degenerating to a reducible curve with a simple node. We also prove a Torelli-type theorem by showing that certain moduli spaces of torsion-free sheaves on a reducible curve allows us to recover the curve from the moduli space.

preprint2016arXivOpen access
Suratno Basu
math.AG
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Suratno Basu

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