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 language||English (US)|
|Title of host publication||Derived Categories in Algebraic Geometry|
|Subtitle of host publication||Tokyo 2011|
|Publisher||European Mathematical Society Publishing House|
|Number of pages||28|
|State||Published - 2012|
|Name||EMS Series of Congress Reports|
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.