There are no exotic compact moduli of sheaves on a curve
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classification
math.AG
keywords
modulisheavescurvethereadequatebundlesclassicalclosed
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We study moduli of coherent sheaves of some given degree and positive rank on a curve. We show that there is only one nonempty open condition on families of sheaves that yields a universally closed adequate moduli space, namely, the one that recovers the classical moduli of slope semistable vector bundles.
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