Relative stable categories and birationality
Category Theory
2021-07-14 v2 Algebraic Geometry
Representation Theory
Abstract
We propose a general method to construct new triangulated categories, relative stable categories, as additive quotients of a given one. This construction enhances results of Beligiannis, particularly in the tensor-triangular setting. We prove a birationality result showing that the original category and its relative stable quotient are equivalent on some open piece of their spectrum.
Cite
@article{arxiv.2003.02935,
title = {Relative stable categories and birationality},
author = {Paul Balmer and Greg Stevenson},
journal= {arXiv preprint arXiv:2003.02935},
year = {2021}
}