\title{The variety of subadditive functions for finite group schemes}

\author[Benson and Krause]{Dave Benson and Henning Krause}

\address{Dave Benson \\ 
Institute of Mathematics\\ 
University of Aberdeen\\ 
King's College\\ 
Aberdeen AB24 3UE\\ 
Scotland U.K.}

\address{Henning Krause\\ 
Fakult\"at f\"ur Mathematik\\ 
Universit\"at Bielefeld\\ 
33501 Bielefeld\\ 
Germany.}

\begin{document}

\begin{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 $\pi$-points introduced
  by Friedlander and Pevtsova.
\end{abstract}

\keywords{subadditive function, endofinite module, stable module category, finite group scheme}
\subjclass[2010]{16G10 (primary); 20C20, 20G10 20J06 (secondary)}

\date{April 5, 2016}