Modular representations of finite groups in the cohomology of algebraic curves.
In item 8 on the publication list I study the mod p cohomology of an algebraic
curve on which the group SL(2,Z/p) acts. The first cohomology group is
a module over the group ring Z/p[SL(2,Z/p)]. The structure of this module
as a direct sum of indecompossible modules is described. These results
are applied in item 15. Much weaker results are
obtained for much more complicated groups in item 19.
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*Research in Algebraic
Geometry
Last modified: May 21, 1997