D-modules and projective stacks
Karim El Haloui, Dmitriy Rumynin
TL;DR
This paper extends the Beilinson-Bernstein Localization Theorem to twisted D-modules on weighted projective stacks, identifying conditions under which the global sections functor is an equivalence.
Contribution
It establishes a version of the Localization Theorem for twisted D-modules on weighted projective stacks, a novel generalization in the field.
Findings
Identifies conditions for the global section functor to be an equivalence
Proves a localization theorem for twisted D-modules on weighted projective stacks
Extends classical results to a new geometric setting
Abstract
We study twisted D-modules on the weighted projective stacks. We determine for which values of the twist and the weight the global section functor is an equivalence, thus, proving a version of Beilinson-Bernstein Localisation Theorem.
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