Geodesic
The variety of subadditive functions for finite group schemes
Dave Benson 1   ; Henning Krause 2
1 Institute of Mathematics University of Aberdeen King’s College Aberdeen AB24 3UE, Scotland, U.K.
2 Fakultät für Mathematik Universität Bielefeld 33501 Bielefeld, Germany
Fundamenta Mathematicae, Tome 239 (2017) no. 3, pp. 289-296 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\pi $-points introduced by Friedlander and Pevtsova.
DOI : 10.4064/fm262-1-2017
Keywords: finite group scheme subadditive functions finite dimensional representations studied shown projective variety cohomology ring recovered equivalence classes subadditive functions using crawley boevey correspondence between subadditive functions endofinite modules obtain equivalence relation set point modules introduced joint work iyengar pevtsova corresponds equivalence relation points introduced friedlander pevtsova

Dave Benson  1   ; Henning Krause  2

1 Institute of Mathematics University of Aberdeen King’s College Aberdeen AB24 3UE, Scotland, U.K.
2 Fakultät für Mathematik Universität Bielefeld 33501 Bielefeld, Germany 
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Dave Benson; Henning Krause. The variety of subadditive functions for finite group schemes. Fundamenta Mathematicae, Tome 239 (2017) no. 3, pp. 289-296. doi: 10.4064/fm262-1-2017

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