5 papers
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…
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…
New examples of non-unique enhancements for triangulated categories
Alice Rizzardo, Julie Symons, Michel Van den Bergh
We present a general procedure for constructing triangulated categories, linear over a field, with distinct enhancements. Some of our examples can be equipped with a (non-degenerat…
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…
Deformations of triangulated categories with t-structures via derived injectives
Francesco Genovese, Wendy Lowen, Julie Symons +1
This paper provides the final ingredient in the development of the deformation theory of pretriangulated dg-categories endowed with a nice t-structure, which was initiated by the a…