Reference : Holomorphic Frobenius actions for DQ-modules
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Physical, chemical, mathematical & earth Sciences : Mathematics
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Holomorphic Frobenius actions for DQ-modules
Petit, François mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
[en] DQ-module ; Frobenius action ; codimension three
[en] Given a complex manifold endowed with a Gm-action and a DQ-algebra equipped with a compatible holomorphic Frobenius action (F-action), we prove that if the Gm-action is free and proper, then the category of F-equivariant DQ-modules is equivalent to the category of modules over the sheaf of invariant sections of the DQ-algebra. As an application, we deduce the codimension three conjecture for formal microdifferential modules from the one for DQ-modules on a symplectic manifold.
Researchers ; Professionals
FnR ; FNR5707106 > Martin Schlichenmaier > QUANTMOD > Quantization of Moduli Spaces > 01/09/2014 > 31/08/2017 > 2013

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