[Fidélité pleine pour les F-connexions de de Rham–Witt surconvergentes]
Soit X une variété lisse sur un corps parfait de charactéristique . On définit les F-connections de de Rham–Witt surconvergentes comme analogues de F-cristaux sur les schémas propre. On montre que le foncteur oubli de la catégorie de F-connections de de Rham–Witt surconvergentes à la catégorie de F-connections de de Rham–Witt convergentes est pleinement fidèle.
Let X be a smooth variety over a perfect field of characteristic . We define overconvergent F-de Rham–Witt connections as an analogue for F-crystals over proper schemes. We prove that the forgetful functor from the category of overconvergent F-de Rham–Witt connections to the category of convergent F-de Rham–Witt connections is fully faithful.
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@article{CRMATH_2016__354_7_653_0,
author = {Ertl, Veronika},
title = {Full faithfulness for overconvergent {F-de} {Rham{\textendash}Witt} connections},
journal = {Comptes Rendus. Math\'ematique},
pages = {653--658},
publisher = {Elsevier},
volume = {354},
number = {7},
year = {2016},
doi = {10.1016/j.crma.2016.04.004},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.04.004/}
}
TY - JOUR AU - Ertl, Veronika TI - Full faithfulness for overconvergent F-de Rham–Witt connections JO - Comptes Rendus. Mathématique PY - 2016 SP - 653 EP - 658 VL - 354 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.04.004/ DO - 10.1016/j.crma.2016.04.004 LA - en ID - CRMATH_2016__354_7_653_0 ER -
%0 Journal Article %A Ertl, Veronika %T Full faithfulness for overconvergent F-de Rham–Witt connections %J Comptes Rendus. Mathématique %D 2016 %P 653-658 %V 354 %N 7 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2016.04.004/ %R 10.1016/j.crma.2016.04.004 %G en %F CRMATH_2016__354_7_653_0
Ertl, Veronika. Full faithfulness for overconvergent F-de Rham–Witt connections. Comptes Rendus. Mathématique, Tome 354 (2016) no. 7, pp. 653-658. doi : 10.1016/j.crma.2016.04.004. http://www.numdam.org/articles/10.1016/j.crma.2016.04.004/
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