# Cartier modules: Finiteness results

@inproceedings{Blickle2009CartierMF,
title={Cartier modules: Finiteness results},
author={Manuel Blickle and Gebhard Bckle},
year={2009}
}
• Published 2009
• Mathematics
• Abstract On a locally Noetherian scheme X over a field of positive characteristic p, we study the category of coherent X-modules M equipped with a pe-linear map, i.e. an additive map C : X X satisfying rC(m) C(rpe m) for all m M, r X. The notion of nilpotence, meaning that some power of the map C is zero, is used to rigidify this category. The resulting quotient category, called Cartier crystals, satisfies some strong finiteness conditions. The main result in this paper states that, if the… CONTINUE READING

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