Work

Tensor-triangular fields: ruminations

Year: 2019

Type: article

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.

Source: Selecta Mathematica

DOI: 10.1007/s00029-019-0454-2

Authors: Paul Balmer, Henning Krause, Greg Stevenson

Institutions: University of California, Los Angeles, Bielefeld University, University of Glasgow

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,690

Funders: National Science Foundation, University of Glasgow