Frobenius and spherical codomains and neighbourhoods
Category Theory
2020-07-08 v2 Algebraic Geometry
Representation Theory
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
@article{arxiv.2001.04774,
title = {Frobenius and spherical codomains and neighbourhoods},
author = {Andreas Hochenegger and Ciaran Meachan},
journal= {arXiv preprint arXiv:2001.04774},
year = {2020}
}
Comments
40 pages, same content as published version