The variety of subadditive functions for finite group schemes

Dave Benson, Henning Krause

Research output: Contribution to journalArticle

Abstract

For a finite group scheme, the subadditive functions on finite-dimensional representations are studied. It is shown that the projective variety of the cohomology ring can be recovered from the equivalence classes of subadditive functions. Using Crawley-Boevey’s correspondence between subadditive functions and endofinite modules, we obtain an equivalence relation on the set of point modules introduced in our joint work with Iyengar and Pevtsova. This corresponds to the equivalence relation on -points introduced by Friedlander and Pevtsova.
Original languageEnglish
Pages (from-to)289-296
Number of pages8
JournalFundamenta Mathematicae
Volume239
Early online date10 May 2017
DOIs
Publication statusPublished - 2017

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Subadditive Function
Group Scheme
Finite Group
Equivalence relation
Module
Cohomology Ring
Projective Variety
Equivalence class
Set of points
Correspondence

Keywords

  • subadditive function
  • endofinite module
  • stable module category
  • finite group scheme

Cite this

The variety of subadditive functions for finite group schemes. / Benson, Dave; Krause, Henning.

In: Fundamenta Mathematicae, Vol. 239, 2017, p. 289-296.

Research output: Contribution to journalArticle

Benson, Dave ; Krause, Henning. / The variety of subadditive functions for finite group schemes. In: Fundamenta Mathematicae. 2017 ; Vol. 239. pp. 289-296.
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