Frobenius and Spherical Codomains and Neighbourhoods
Ciaran Meachan
School of Mathematics, University of Glasgow, Scotland, UKAndreas Hochenegger
Dipartimento di Matematica, Politecnico di Milano, Italia

Abstract
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 triangulated subcategory of the codomain on which the functor becomes either Frobenius or spherical, respectively. We illustrate our construction with examples coming from projective bundles and smooth blowups. This work generalises results about spherical subcategories obtained by Martin Kalck, David Ploog and the first author.
Cite this article
Ciaran Meachan, Andreas Hochenegger, Frobenius and Spherical Codomains and Neighbourhoods. Doc. Math. 25 (2020), pp. 483–525
DOI 10.4171/DM/755