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math.CT2026
Commutative algebra in tensor categories
Kevin Coulembier
We develop some foundations of commutative algebra, with a view towards algebraic geometry, in symmetric tensor categories. Most results establish analogues of classical theorems,…
math.CT2025
Universal properties of Delannoy categories
Kevin Coulembier, Nate Harman, Andrew Snowden
Recently, the second and third authors introduced a new symmetric tensor category associated to an oligomorphic group with a measure . Wh…
math.CT2025
Invertible exterior powers
Kevin Coulembier
We present a proof of the fact that in a symmetric monoidal category over a field of characteristic zero, objects with an invertible exterior power are rigid. As an application we…