There are no exotic compact moduli of sheaves on a curve

2025/04/15 by Herrero, Andres Fernandez, Weissmann, Dario, Zhang, Xucheng
#14D20 (Primary) 14H60 #14D23 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.11155

Abstract

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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