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

Mihnea Popa

Research output: Chapter in Book/Report/Conference proceedingChapter

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.
Original languageEnglish (US)
Title of host publicationDerived Categories in Algebraic Geometry
Subtitle of host publicationTokyo 2011
EditorsYujiro Kawamata
PublisherEuropean Mathematical Society Publishing House
Pages251-278
Number of pages28
ISBN (Electronic)978-3-03719-615-1
ISBN (Print)978-3-03719-115-6
StatePublished - 2012

Publication series

NameEMS Series of Congress Reports
Volume8

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  • Cite this

    Popa, M. (2012). Generic vanishing filtration and perverse objects in derived categories of coherent sheaves. In Y. Kawamata (Ed.), Derived Categories in Algebraic Geometry: Tokyo 2011 (pp. 251-278). (EMS Series of Congress Reports; Vol. 8). European Mathematical Society Publishing House.