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arXiv · 1110.2706

Categories of modules given by varieties of p-nilpotent operators

Rolf Farnsteiner
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Abstract

For a finite group scheme G over an algebraically closed field k of characteristic p>0 we study G-modules M, which are defined in terms of properties of their pull-backs along p-points of G. We show that the corresponding subcategories strongly depend on the structure of G. The second part of the paper discusses recent work by Carlson-Friedlander-Suslin concerning the subcategory of equal images modules from the vantage point of Auslander-Reiten theory.

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Rolf Farnsteiner. 2011-10-12. Categories of modules given by varieties of p-nilpotent operators. https://arxiv.org/abs/1110.2706

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