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Linear data for framed sheaves via exceptional sequences

Published 29 Jan 2019 in math.AG | (1901.10339v1)

Abstract: Let $X$ be a smooth projective surface with a full strong exceptional sequence $\mathfrak{E}$. Under certain conditions, we describe the moduli spaces of framed sheaves on a line in $X$ via linear data, i.e. by realizing them as principal bundles over a stack of representations of the bound quiver associated to $\mathfrak{E}$.

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