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Some results and conjectures concerning the curve. (Quelques resultats et conjectures concernant la courbe.) (French. English summary) Zbl 1326.14109
Bost, Jean-Benoît (ed.) et al., De la géométrie algébrique aux formes automorphes (I). Une collection d’articles en l’honneur du soixantième anniversaire de Gérard Laumon. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-805-3/pbk). Astérisque 369, 325-374 (2015).
Summary: We first establish some properties of the rigid analytic version of the “curve” we introduced in our joint work with J.-M. Fontaine (see, e.g., [AMS/IP Stud. Adv. Math. 51, 77–113 (2012; Zbl 1283.14011)]). We then show how to construct some modifications of vector bundles on this curve from some phi-modules in Breuil-Kisin sense. Finally, we announce a conjecture about this construction.
For the entire collection see [Zbl 1319.14003].

MSC:
14L05 Formal groups, \(p\)-divisible groups
14G22 Rigid analytic geometry
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