Support theory of abelian categories -- some discussion

DOI10.1215/21562261-2023-0004OpenAlexW4386093953MaRDI QIDQ6185317

Xuan Yu

Publication date: 8 January 2024

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/kyoto-journal-of-mathematics/volume-63/issue-4/Support-theory-of-abelian-categoriessome-discussion/10.1215/21562261-2023-0004.full

zbMATH Keywords

spectrumsupportSerre/localizing subcategories

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80)

Cites Work

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• Classification of categorical subspaces of locally noetherian schemes
• Classifying Serre subcategories via atom spectrum
• Unifying two results of Orlov on singularity categories
• Formal completions and idempotent completions of triangulated categories of singularities
• The spectrum of a locally coherent category
• Monoform objects and localization theory in abelian categories
• Support varieties: an ideal approach
• Localization of triangulated categories and derived categories
• Rosenberg's reconstruction theorem
• Integrality of Noetherian Grothendieck categories
• Support varieties -- an axiomatic approach
• Specialization orders on atom spectra of Grothendieck categories
• Higher Algebraic K-Theory (After Quillen, Thomason and Others)
• Triangulated categories of singularities and equivalences between Landau-Ginzburg models
• The Ziegler Spectrum of a Locally Coherent Grothendieck Category
• Des catégories abéliennes
• the stable derived category of a noetherian scheme

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