5 citations · 5 across the 9 of their papers we have counts for
9 papers
A smooth projective counterexample to Bondal-Polishchuk's conjecture
Anya Nordskova
For a particular smooth projective (weak Fano) threefold we show that the braid group action on the set of full exceptional collections in is not transitive. This prov…
NCCRs of cones over del Pezzo surfaces
Anya Nordskova, Michel Van den Bergh
Non-commutative crepant resolutions (NCCRs) are non-commutative versions of classical crepant resolutions in algebraic geometry. For 3-dimensional terminal Gorenstein singularities…
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…
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…
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…
Local Blaschke--Kakutani ellipsoid characterization and Banach's isometric subspaces problem
Sergei Ivanov, Daniil Mamaev, Anya Nordskova
We prove the following local version of Blaschke--Kakutani's characterization of ellipsoids: Let be a finite-dimensional real vector space, a convex body with 0 in…
Banach's isometric subspace problem in dimension four
Sergei Ivanov, Daniil Mamaev, Anya Nordskova
We prove that if all intersections of a convex body with 3-dimensional linear subspaces are linearly equivalent then is a centered ellipsoid. This gives a…
Derived Picard groups of symmetric representation-finite algebras of type
Anya Nordskova
We explicitly describe the derived Picard groups of symmetric representation-finite algebras of type . In particular, we prove that these groups are generated by spherical twist…
Faithful actions of braid groups by twists along ADE-configurations of spherical objects
Anya Nordskova, Yury Volkov
We prove that the action of a generalized braid group on an enhanced triangulated categories, generated by spherical twist functors along an ADE-configuration of -spherical obje…