Tensor-triangular fields: Ruminations
Category Theory
2019-02-22 v2 Algebraic Geometry
Algebraic Topology
Representation Theory
Abstract
We examine the concept of field in tensor-triangular geometry. We gather examples and discuss possible approaches, while highlighting open problems. As the construction of residue tt-fields remains elusive, we instead produce suitable homological tensor-functors to Grothendieck categories.
Keywords
Cite
@article{arxiv.1707.02167,
title = {Tensor-triangular fields: Ruminations},
author = {Paul Balmer and Henning Krause and Greg Stevenson},
journal= {arXiv preprint arXiv:1707.02167},
year = {2019}
}
Comments
32 pages