Homological support of big objects in tensor-triangulated categories

DOI10.5802/JEP.135zbMath1454.18005arXiv2001.00284OpenAlexW3047331890MaRDI QIDQ2209257

Paul Balmer

Publication date: 29 October 2020

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00284

zbMATH Keywords

big supporttensor-triangular geometryhomological residue fieldhomological spectrum

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Categorical structures (18D99)

Related Items (2)

Stratification and the smashing spectrum ⋮ Computing homological residue fields in algebra and topology

Cites Work

• Representations of finite groups. Local cohomology and support.
• Stratifying modular representations of finite groups.
• The Bousfield lattice for truncated polynomial algebras
• Oddball Bousfield classes
• Tensor-triangular fields: ruminations
• Smashing subcategories and the telescope conjecture -- an algebraic approach
• Nilpotence theorems via homological residue fields
• Triangulated Categories
• Support theory via actions of tensor triangulated categories
• Generalized tensor idempotents and the telescope conjecture
• Stratifying triangulated categories
• Local cohomology and support for triangulated categories
• Morava 𝐾-theories and localisation
• Axiomatic stable homotopy theory
• On the surjectivity of the map of spectra associated to a tensor‐triangulated functor
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Colocalizing subcategories and cosupport
• Module categories for group algebras over commutative rings
• The frame of smashing tensor-ideals
• Grothendieck–Neeman duality and the Wirthmüller isomorphism
• The spectrum of prime ideals in tensor triangulated categories

This page was built for publication: Homological support of big objects in tensor-triangulated categories