Publications
New examples of non-Fourier-Mukai functors Vrije Universiteit Brussel
A celebrated result by Orlov states that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is of geometric origin, i.e. it is a Fourier–Mukai functor. In this paper we prove that any smooth projective variety of dimension ≥ 3 equipped with a tilting bundle can serve as the source variety of a non-Fourier–Mukai functor between smooth projective schemes.
The Frobenius morphism in invariant theory Vrije Universiteit Brussel Hasselt University
A reduction theorem for τ -rigid modules Vrije Universiteit Brussel
We prove a theorem which gives a bijection between the support τ-tilting modules over a given finite-dimensional algebra A and the support τ-tilting modules over A / I, where I is the ideal generated by the intersection of the center of A and the radical of A. This bijection is both explicit and well-behaved. We give various corollaries of this, with a particular focus on blocks of group rings of finite groups. In particular we show that ...