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

Media type: E-Book; Video
Title: Spreading-out of rigid-analytic families and observations on p-adic Hodge theory
Contributor: Gabber, Ofer [Author]; Abbes, Ahmed (Organization) [Other]; Hu, Yongquan (Organization) [Other]; Orgogozo, Fabrice (Organization) [Other]; Saito, Takeshi (Organization) [Other]; Shiho, Atsushi (Organization) [Other]; Tian, Ye (Organization) [Other]; Tsuji, Takeshi (Organization) [Other]; Zheng, Weizhe (Organization) [Other]
Published: [Erscheinungsort nicht ermittelbar]: Institut des Hautes Études Scientifiques (IHÉS), 2015
Published in: Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo ; (Jan. 2015)
Extent: 1 Online-Ressource (613 MB, 01:13:32:20)
Language: English
DOI: 10.5446/20489
Identifier:

Origination:
Footnote: Audiovisuelles Material
Description: (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
Access State: Open Access
Rights information: Attribution - Non Commercial (CC BY-NC)

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