# Exact functors on perverse coherent sheaves

Koppensteiner, C

September 2015

## Journal:

COMPOSITIO MATHEMATICA

## Last Updated:

2020-07-12T22:08:21.707+01:00

9

151

## DOI:

10.1112/S0010437X15007265

1688-1696

## abstract:

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 $R\Gamma_Z(\mathcal{F})$ is concentrated in degree 0 for special
subvarieties Z of X. These subvarieties Z are analogs of Lagrangians in the
symplectic case.

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