2 results
Exact functors on perverse coherent sheaves
- Part of
-
- Journal:
- Compositio Mathematica / Volume 151 / Issue 9 / September 2015
- Published online by Cambridge University Press:
- 04 May 2015, pp. 1688-1696
- Print publication:
- September 2015
-
- Article
-
- You have access
- Export citation
-
Inspired by symplectic geometry and a microlocal characterizations of perverse (constructible) sheaves we consider an alternative definition of perverse coherent sheaves. We show that a coherent sheaf is perverse if and only if
$R{\rm\Gamma}_{Z}{\mathcal{F}}$ is concentrated in degree 
$0$ for special subvarieties 
$Z$ of 
$X$. These subvarieties 
$Z$ are analogs of Lagrangians in the symplectic case.
On the vanishing of local cohomology in characteristic p > 0
-
- Journal:
- Compositio Mathematica / Volume 142 / Issue 1 / January 2006
- Published online by Cambridge University Press:
- 13 January 2006, pp. 207-221
- Print publication:
- January 2006
-
- Article
-
- You have access
- Export citation
