Fourier-Mukai transform in the quantized setting

F. Petit

doi:10.1016/j.aim.2014.01.019

Fourier-Mukai transform in the quantized setting

F. Petit

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that a coherent DQ-kernel induces an equivalence between the derived categories of DQ-modules with coherent cohomology if and only if the graded commutative kernel associated to it induces an equivalence between the derived categories of coherent sheaves.

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Advances in Mathematics
Volume	256
DOIs	https://doi.org/10.1016/j.aim.2014.01.019
Publication status	Published - 1 May 2014

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abstract = "We prove that a coherent DQ-kernel induces an equivalence between the derived categories of DQ-modules with coherent cohomology if and only if the graded commutative kernel associated to it induces an equivalence between the derived categories of coherent sheaves.",

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AB - We prove that a coherent DQ-kernel induces an equivalence between the derived categories of DQ-modules with coherent cohomology if and only if the graded commutative kernel associated to it induces an equivalence between the derived categories of coherent sheaves.

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Fourier-Mukai transform in the quantized setting

Abstract

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