Exponentiable Grothendieck categories in flat algebraic geometry
DOI10.1016/j.jalgebra.2022.03.040zbMath1497.14004arXiv2103.07876OpenAlexW3138132197MaRDI QIDQ2136915
Ivan Di Liberti, Julia Ramos González
Publication date: 16 May 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.07876
Grothendieck categoriesflatnessnoncommutative algebraic geometryquasi-coherent sheavesmonoidal structuresexponentiabilitycontinuous categories
Noncommutative algebraic geometry (14A22) Topoi (18B25) Abelian categories, Grothendieck categories (18E10) Accessible and locally presentable categories (18C35) Grothendieck topologies and Grothendieck topoi (18F10) Monoidal categories, symmetric monoidal categories (18M05) Sheaves in algebraic geometry (14F06)
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Cites Work
- Deriving Auslander's formula
- The fundamental pro-groupoid of an affine 2-scheme
- Tensor functors between categories of quasi-coherent sheaves
- Tensor products of finitely cocomplete and abelian categories
- Limits of small functors
- Continuous categories and exponentiable toposes
- Noncommutative projective schemes
- Grothendieck categories as a bilocalization of linear sites
- Rosenberg's reconstruction theorem
- Some remarks on total categories
- A generalization of the Gabriel-Popescu theorem
- Monads for which structures are adjoint to units
- Class-locally presentable and class-accessible categories
- General facts on the Scott adjunction
- Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Linearized topologies and deformation theory
- Noncommutative curves and noncommutative surfaces
- Tensor categorical foundations of algebraic geometry
- Enriched accessible categories
- On the Tensor Product of Linear Sites and Grothendieck Categories
- Ind-abelian categories and quasi-coherent sheaves
- Reflexivity and dualizability in categorified linear algebra
- Higher Topos Theory (AM-170)
- Des catégories abéliennes
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