In this short note we show how to combine Yoshioka''s recent results on moduli spaces of twisted sheaves on K3 surfaces to prove Căldăraru''s conjecture on the equivalence of twisted derived categories of projective K3 surfaces.
Proof of Caldararu's conjecture / D. Huybrechts, P. Stellari - In: Moduli Spaces and Arithmetic Geometry / [a cura di] Shigeru Mukai, Yoichi Miyaoka, Shigefumi Mori, Atsushi Moriwaki, Iku Nakamura. - Tokyo : Mathematical Society of Japan, 2007. - ISBN 978-4-931469-38-9.
Proof of Caldararu's conjecture
P. StellariUltimo
2007
Abstract
In this short note we show how to combine Yoshioka''s recent results on moduli spaces of twisted sheaves on K3 surfaces to prove Căldăraru''s conjecture on the equivalence of twisted derived categories of projective K3 surfaces.
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