Hochster duality in derived categories and point-free reconstruction of schemes

DOI10.1090/tran/6773zbMath1373.18008arXiv1305.1503OpenAlexW2963845133MaRDI QIDQ2826759

Joachim Kock, Wolfgang Pitsch

Publication date: 18 October 2016

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

Full work available at URL: https://arxiv.org/abs/1305.1503

zbMATH Keywords

triangulated categoriesframeslocalizing subcategoriesHochster dualityreconstruction of schemes

Mathematics Subject Classification ID

Related Items (12)

A Tour of Support Theory for Triangulated Categories Through Tensor Triangular Geometry ⋮ Tensor topology ⋮ Compactly generated t-structures in the derived category of a commutative ring ⋮ Approximating triangulated categories by spaces ⋮ The spectrum of a well‐generated tensor‐triangulated category ⋮ Noncommutative tensor triangulated categories and coherent frames ⋮ Tensor triangular geometry of filtered objects and sheaves ⋮ An analogue of Stone duality via support ⋮ Some Observations About Motivic Tensor Triangulated Geometry over a Finite Field ⋮ Spectra as universal objects in categories of supports ⋮ A topological nullstellensatz for tensor-triangulated categories ⋮ Tilting classes over commutative rings

Cites Work

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• Prime Ideal Structure in Commutative Rings
• The spectrum of prime ideals in tensor triangulated categories
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