Sheafification of linear functors

Abstract

We introduce ``sheafification'' functors from categories of (lax monoidal) linear functors to categories of quasi-coherent sheaves (of algebras) of stacks. They generalize the homogeneous sheafification of graded modules for projective schemes.

35 pages, new version

References in corpus (3)

• Tannaka Duality for Geometric Stacks
• Tensor categorical foundations of algebraic geometry
• A characterization of categories of coherent sheaves of certain algebraic stacks

Cited by in corpus (6)

• Cox rings of algebraic stacks
• Localizations of tensor categories and fiber products of schemes
• Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors
• Ramified Galois covers via monoidal functors
• Drinfeld-Lau Descent over Fibered Categories
• Stacks of fiber functors and Tannaka's reconstruction