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math.AG2020
On Ulrich bundles on projective bundles
Andreas Hochenegger
In this article, the existence of Ulrich bundles on projective bundles is discussed. In the case, that the base variety is a curve or surface, a close rela…
math.AG2020
Cox rings of algebraic stacks
Andreas Hochenegger, Elena Martinengo, Fabio Tonini
We give a proper definition of the multiplicative structure of the following rings: the Cox ring of invertible sheaves on a general algebraic stack; and the Cox ring of rank one re…
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…