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This is a mostly expository paper, intended to explain a very naturalrelationship between two a priori distinct notions appearing in the literature:Generic Vanishing in the context of vanishing theorems and birational geometry,and Perverse Coherent Sheaves in the context of derived categories. I describehomological and commutative algebra criteria for checking either condition, andthen recall applications to geometric situations. A few new results, andespecially new proofs, are included as well.

Generic vanishing filtrations and perverse objects in derived categories of coherent sheaves