Frobenius modules and de Jong's theorem
数论
2007-05-23 v2 代数几何
环与代数
摘要
Let k be a field of characteristic p>0. A theorem of de Jong shows that morphisms of modules over W(k)[[t]] with Frobenius and connection structure descend from the completion of W(k)((t)). A careful reading of de Jong's proof suggests the possibility that an analogous theorem holds for modules with only a Frobenius structure. We show that this analogue holds in one weak formulation and fails in a second stronger formulation.
引用
@article{arxiv.math/0402420,
title = {Frobenius modules and de Jong's theorem},
author = {Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:math/0402420},
year = {2007}
}
备注
18 pages; v2: corrected errors in Proposition 4.3 and Lemma 5.4; to appear in Math. Res. Lett