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Published in 2019 at "Arnold Mathematical Journal"
DOI: 10.1007/s40598-019-00114-x
Abstract: In, Rizzardo and Van den Bergh (An example of a non-Fourier–Mukai functor between derived categories of coherent sheaves. arXiv:1410.4039, 2014) constructed an example of a triangulated functor between the derived categories of coherent sheaves on…
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Keywords:
coherent sheaves;
derived categories;
triangulated endofunctors;
functor ... See more keywords
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Published in 2021 at "Kyoto Journal of Mathematics"
DOI: 10.1215/21562261-2021-0015
Abstract: On a smooth projective threefold, we construct an essentially surjective functor $\mathcal{F}$ from a category of two-term complexes to a category of quotients of coherent sheaves, and describe the fibers of this functor. Under a…
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Keywords:
quotients coherent;
coherent sheaves;
higher rank;
rank stable ... See more keywords