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math.CTOct 1, 2017
22
citations (OpenAlex)
authors
  • Paul Balmer
institutions
  • University of California, Los Angeles
arXiv abstractPDF
paper

Nilpotence theorems via homological residue fields

arXiv:1710.04799 · doi:10.2140/tunis.2020.2.359

Abstract

We prove nilpotence theorems in tensor-triangulated categories using suitable Gabriel quotients of the module category, and discuss examples.

16 pages

Cited by in corpus (12)

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  • Model theory in compactly generated (tensor-)triangulated categories
  • Support theory for Drinfeld doubles of some infinitesimal group schemes
  • The spectrum of excisive functors
  • Morava K-theory and Filtrations by Powers
  • The shift-homological spectrum and parametrising kernels of rank functions
  • Homological stratification and descent
  • Definable functors between triangulated categories
  • Towards the Nerves of Steel Conjecture
  • Telescope conjecture via homological residue fields with applications to schemes
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