Algebraic Geometry in Tensor Categories

We set up some foundations of generalized scheme theory related to new incompressible symmetric tensor categories. This is analogous to the relation between superschemes and the category of supervector spaces.

Authors

Publication Details

Journal
The Michigan Mathematical Journal
Published
2025-01-01
DOI
https://doi.org/10.1307/mmj/20236477
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Algebraic Geometry in Tensor Categories

Kevin Coulembier
The Michigan Mathematical Journal
Homotopy and Cohomology in Algebraic Topology
article

Algebraic Geometry in Tensor Categories

Kevin Coulembier
article en

Abstract

We set up some foundations of generalized scheme theory related to new incompressible symmetric tensor categories. This is analogous to the relation between superschemes and the category of supervector spaces.

The Michigan Mathematical JournalVol. -1(-1)
Openalex Percentile: Top 73%
Homotopy and Cohomology in Algebraic Topology
DOISourceOpenAlex
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