[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.
Disciplines :
Mathematics
Author, co-author :
PETIT, François ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Fourier-Mukai transform in the quantized setting
Publication date :
2014
Journal title :
Advances in Mathematics
ISSN :
0001-8708
eISSN :
1090-2082
Publisher :
Academic Press, San Diego, United States - California