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Semi-Homogeneous Sheaves and Twisted Derived Categories

math.AG · 2024-11-15 · conditional · novelty 6.0

A torsor under an abelian variety is twisted derived equivalent to another smooth variety exactly when that variety is a moduli space of simple semi-homogeneous sheaves on the torsor, with the universal obstruction as the twist.

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  • Semi-Homogeneous Sheaves and Twisted Derived Categories math.AG · 2024-11-15 · conditional · none · ref 1

    A torsor under an abelian variety is twisted derived equivalent to another smooth variety exactly when that variety is a moduli space of simple semi-homogeneous sheaves on the torsor, with the universal obstruction as the twist.