Construction of spectra of triangulated categories and applications to commutative rings

DOI10.2969/JMSJ/82868286zbMath1458.18007arXiv1811.06312OpenAlexW3034724727MaRDI QIDQ826473

Hiroki Matsui, Ryo Takahashi

Publication date: 4 January 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06312

zbMATH Keywords

spectrumhypersurfacecomplete intersectiontriangulated categoryderived categorysingularity categoryperfect complex(prime/radical/tame) thick subcategory

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Derived categories and commutative rings (13D09) Derived categories, triangulated categories (18G80)

Related Items (1)

Prime thick subcategories and spectra of derived and singularity categories of Noetherian schemes

Cites Work

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• Stratifying modular representations of finite groups.
• Modules with reducible complexity
• \(\Pi\)-supports for modules for finite group schemes.
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Singular equivalences of commutative Noetherian rings and reconstruction of singular loci
• Classifying thick subcategories of the stable category of Cohen-Macaulay modules
• The derived category of a locally complete intersection ring
• Thick tensor ideals of right bounded derived categories
• Finiteness in derived categories of local rings
• Subcategories of singularity categories via tensor actions
• On the deviations of a local ring.
• Stratification for module categories of finite group schemes
• Local rings with quasi-decomposable maximal ideal
• The spectrum of prime ideals in tensor triangulated categories
• Nilpotence and stable homotopy theory. II

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