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

  • Mihnea Popa

    Northwestern University, Evanston, USA
Generic vanishing filtrations and perverse objects  in derived categories of coherent sheaves cover

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Abstract

The paper establishes a natural relationship between generic vanishing in the context of vanishing theorems and birational geometry, and perverse coherent sheaves in the context of derived categories. It includes criteria for checking these conditions, and applications.