Moduli spaces of twisted sheaves on a projective variety
By K. Yoshioka. 2004
111 citations recorded by the source corpus.
We construct the moduli of twisted sheaves on a projective variety. Then we generalize known results on the moduli space of usual sheaves on a K3 surface to the twisted case. Thus we consider the non-emptyness, the deformation type and the Fourier-Mukai transformation. As an application of our results, Daniel Huybrechts and Paolo Stellari prove Caldararu's conjecture.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ac25df290333498c1ef4b7acac2eaccf31474140
How researchers see this paper
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In Geometry and Topology
- D. Huybrechts
- P. Stellari
- Alberto Canonaco
- Emanuele Macrì
- E. Markman
- Arend Bayer
- Alexander Kuznetsov
- Kieran G. O’Grady
In Mathematical Physics
- D. Huybrechts
- P. Stellari
- Alberto Canonaco
- Emanuele Macrì
- Arend Bayer
- Alexander Kuznetsov
- E. Markman
- Keiji Oguiso
Citations in the corpus
- Twisted Fourier–Mukai functors (2006, methodology): “This was first proved by Căldăraru ([3, 4]) and then generalized in [12, 13, 17] and [9, 10].”
- The K3 category of a cubic fourfold (2015, methodology): “Following [59] we pick a locally free α “ tαijku-twisted sheaf E “ tEi, φiju on a twisted variety pZ,αq and associate to it the projective bundle π : Y :“ PpEq //Z, which naturally comes with a π ̊α ́1-twisted line bundle L :“ Oπp1q.”
- Lectures on K3 Surfaces (2016, background): “iv) A realization in terms of Brauer–Severi varieties has been explained in [642].”