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math.AG2024
Groups generated by spherical twists on K3 surfaces and full exceptional collections on Fano threefolds
Anya Nordskova, Michel Van den Bergh
Let Y be a smooth K3 surface of Picard rank 1. We prove that the subgroup G of Aut D^b(Y) generated by spherical twists with respect to all spherical objects is free. Moreover, we…
math.AG2024
HMS symmetries of toric boundary divisors
Špela Špenko, Michel Van den Bergh
Let be a projective crepant resolution of a Gorenstein affine toric variety and let be the LG-model which is the Hori-Vafa mirror dual of . Let …