Spherical subcategories in algebraic geometry
Category Theory
2018-01-17 v6 Algebraic Geometry
Representation Theory
Abstract
We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical. This general result is then applied to algebraic geometry.
Cite
@article{arxiv.1208.4046,
title = {Spherical subcategories in algebraic geometry},
author = {Andreas Hochenegger and Martin Kalck and David Ploog},
journal= {arXiv preprint arXiv:1208.4046},
year = {2018}
}
Comments
21 pages. Identical to published version. There is a separate article with examples from representation theory, see arXiv:1502.06838