Spreading-out of rigid-analytic families and observations on p-adic Hodge theory

Medientyp: E-Book; Video

Titel: Spreading-out of rigid-analytic families and observations on p-adic Hodge theory

Erschienen: [Erscheinungsort nicht ermittelbar]: Institut des Hautes Études Scientifiques (IHÉS), 2015

Umfang: 1 Online-Ressource (613 MB, 01:13:32:20)

Sprache: Englisch

DOI: 10.5446/20489

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Anmerkungen: Audiovisuelles Material

Beschreibung: (Joint work with Brian Conrad.) Let K be a complete rank 1 valued field with ring of integers OK, A an adic noetherian ring and f: A→OK an adic morphism. If g: X→Y is a proper flat morphism between rigid analytic spaces over Kthen locally on Y a flat formal model of gspreads out to a proper flat morphism between formal schemes topologically of finite type over A. As an application one can prove that for proper smooth g and K of characteristic 0, the Hodge to de Rham spectral sequence for g degenerates and the RqgxΩpX/Y are locally free

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