REVIEW 3 cited by
Algebraic geometry in tensor categories
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We set up some foundations of generalised scheme theory related to new incompressible symmetric tensor categories. This is analogous to the relation between super schemes and the category of super vector spaces.
Forward citations
Cited by 3 Pith papers
-
Absolutely flat algebras in tensor categories
For well-fibered pretannakian tensor categories, commutative ind-algebras are semisimple exactly when they are products of simple algebras and exactly when they are absolutely flat.
-
Tameness of actions on finite rank median algebras
Rank of a median algebra equals the independence number of its median-preserving functions, and finite-rank compact median algebras are always Rosenthal representable (hence dynamically tame).
-
Homogeneous spaces in tensor categories
In tensor categories satisfying (GR) and (MN1-2), any quotient G/H of algebraic groups exists as an algebraic, separated scheme, and is affine, quasi-affine, or proper exactly when the underlying classical quotient G0/H0 is.
Discussion (0). Continue with ORCID to comment.