\title[Colocalising subcategories]{Colocalising subcategories of modules over \\ finite group schemes}

\author[Benson, Iyengar, Krause, and Pevtsova]{Dave Benson, Srikanth
  B. Iyengar, Henning Krause \\ and Julia Pevtsova}

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

\address{Srikanth B. Iyengar\\ 
Department of Mathematics\\
University of Utah\\ 
Salt Lake City, UT 84112\\ 
U.S.A.}

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

\address{Julia Pevtsova\\ 
Department of Mathematics\\ 
University of Washington\\ 
Seattle, WA 98195\\ 
U.S.A.}


\begin{document}

\begin{abstract} 
  The Hom closed colocalising subcategories of the stable module
  category of a finite group scheme are classified. This complements
  the classification of the tensor closed localising subcategories in
  our previous work. Both classifications involve $\pi$-points in the
  sense of Friedlander and Pevtsova. We identify for each $\pi$-point
  an endofinite module which both generates the corresponding minimal
  localising subcategory and cogenerates the corresponding minimal
  colocalising subcategory.
\end{abstract}

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

\date{\today}

\thanks{SBI was partly supported by NSF grant DMS-1503044 and JP was partly supported by  NSF grants DMS-0953011 and DMS-1501146.}