Full faithfulness for overconvergent F -isocrystals

By Kiran S. Kedlaya. 2001

70 citations recorded by the source corpus.

Let X be a smooth variety over a field of characteristic p > 0. We prove that the forgetful functor from the category of overconvergent F-isocrystals on X to that of convergent F-isocrystals is fully faithful. The argument uses the quasi-unipotence

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/265c9b9d7cd5be3b3fd89c15063b25addca9085c

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In Geometry and Topology

1. Kiran S. Kedlaya
2. Ruochuan Liu
3. Peter Scholze
4. Alan G. B. Lauder
5. T. Mochizuki
6. Jonathan Pottharst
7. Tomoyuki Abe
8. David Lubicz

In Mathematical Physics

1. Kiran S. Kedlaya
2. Ruochuan Liu
3. Peter Scholze
4. Kentaro Nakamura
5. Jonathan Pottharst

In Statistical and Nonlinear Physics

1. Kiran S. Kedlaya

Citations in the corpus

• Slope filtrations revisited (2005, background): “where either Dwork’s trick, in the case of [13], or the p-adic local monodromy theorem, in the case of [ 20 ], can be brought to bear.”