Spherical subcategories in algebraic geometry
arXiv:1208.4046 · doi:10.1002/mana.201400232
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.
21 pages. Identical to published version. There is a separate article with examples from representation theory, see arXiv:1502.06838