Fourier-Mukai transform in the quantized setting

Reference : Fourier-Mukai transform in the quantized setting


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/19307

Title :	Fourier-Mukai transform in the quantized setting
Language :	English
Author, co-author :	Petit, François [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2014
Journal title :	Advances in Mathematics
Publisher :	Academic Press
Volume :	256
Pages :	1-17
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0001-8708
e-ISSN :	1090-2082
City :	San Diego
Country :	CA
Abstract :	[en] 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.
Permalink :	http://hdl.handle.net/10993/19307
DOI :	10.1016/j.aim.2014.01.019

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