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arXiv · 0911.3648

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

Mihnea Popa
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Abstract

This is a mostly expository paper, intended to explain a very natural relationship 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 describe homological and commutative algebra criteria for checking either condition, and then recall applications to geometric situations. A few new results, and especially new proofs, are included as well.

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Mihnea Popa. 2009-11-22. Generic vanishing filtrations and perverse objects in derived categories of coherent sheaves. https://arxiv.org/abs/0911.3648

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