A Simpson Correspondence in Positive Characteristic
Michel Gros
Université de Rennes 1, FranceBernard Le Stum
Université de Rennes 1, FranceAdolfo Quirós
Universidad Autónoma de Madrid, Spain
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Abstract
Let be a prime number, a perfect field of characteristic , a smooth -scheme and the algebra of (arithmetic) differential operators of level . We study the Azumaya nature of this algebra and show how to construct, using an additional data, a splitting of a completion (along some ideal contained in its center) of it.
Cite this article
Michel Gros, Bernard Le Stum, Adolfo Quirós, A Simpson Correspondence in Positive Characteristic. Publ. Res. Inst. Math. Sci. 46 (2010), no. 1, pp. 1–35
DOI 10.2977/PRIMS/1