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Continuous CM-regularity and generic vanishing

Continuous CM-regularity and generic vanishing

Abstract We study the continuous CM-regularity of torsion-free coherent sheaves on polarized irregular smooth projective varieties ( X , O X (1)), and its relation with the theory of generic vanishing. This continuous variant of the Castelnuovoā€“Mumford regularity was introduced by Mustopa, and he raised the question whether a continuously ā€¦