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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.CT2024
A note on abelian envelopes
Anya Nordskova
This is a short note bridging the gap between two notions of universal abelian categories associated to exact categories, namely, Rump's quotient categories and Bodzenta-Bondal's a…
math.GR2024
Subgroups of braid groups generated by Birman-Ko-Lee generators
Anya Nordskova, Michel Van den Bergh
We define a Young subgroup of the braid group as a subgroup generated by an arbitrary subset of the Birman-Ko-Lee generators. We give an intrinsic description of such subgroups whi…