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Exact functors on perverse coherent sheaves

  • Clemens Koppensteiner (a1)


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.



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Exact functors on perverse coherent sheaves

  • Clemens Koppensteiner (a1)


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