Espaces de Banach-Colmez et faisceaux coh\'erents sur la courbe de Fargues-Fontaine

Autor: Arthur-César Le Bras

Publikováno v: Duke Mathematical Journal
Duke Mathematical Journal, Duke University Press, 2018, ⟨10.1215/00127094-2018-0034⟩
Duke Math. J. 167, no. 18 (2018), 3455-3532

We give a new definition, simpler but equivalent, of the abelian category of Banach-Colmez spaces introduced by Colmez, and we explain the precise relationship with the category of coherent sheaves on the Fargues-Fontaine curve. One goes from one cat

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https://hal.archives-ouvertes.fr/hal-03018431/file/1801.00422.pdf