3 papers
math.AG2024
Toric sheaves and polyhedra
Klaus Altmann, Andreas Hochenegger, Frederik Witt
Over a smooth projective toric variety we study toric sheaves, that is, reflexive sheaves equivariant with respect to the acting torus, from a polyhedral point of view. One applica…
math.CT2020
Frobenius and spherical codomains and neighbourhoods
Andreas Hochenegger, Ciaran Meachan
Given an exact functor between triangulated categories which admits both adjoints and whose cotwist is either zero or an autoequivalence, we show how to associate a unique full tri…
math.AG2019
Introduction to derived categories of coherent sheaves
Andreas Hochenegger
In these notes, an introduction to derived categories and derived functors is given. The main focus is the bounded derived category of coherent sheaves on a smooth projective varie…