Classification of categorical subspaces of locally noetherian schemes

zbMath1349.14061arXiv1405.4473MaRDI QIDQ273559

Ryo Kanda

Publication date: 22 April 2016

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4473

zbMATH Keywords

closed subcategorylocal filterlocalizing subcategorylocally noetherian schemeprelocalizing subcategory

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Module categories in associative algebras (16D90) Structure, classification theorems for modules and ideals in commutative rings (13C05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (10)

Support theory of abelian categories -- some discussion ⋮ Local cohomology in Grothendieck categories ⋮ Finiteness of the number of minimal atoms in Grothendieck categories ⋮ Rosenberg's reconstruction theorem ⋮ Monoform objects and localization theory in abelian categories ⋮ Extension groups between atoms in abelian categories ⋮ Integrality of Noetherian Grothendieck categories ⋮ Well-closed subschemes of noncommutative schemes ⋮ Construction of Grothendieck categories with enough compressible objects using colored quivers ⋮ Non-exactness of direct products of quasi-coherent sheaves

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