Espaces de Banach–Colmez et faisceaux cohérents sur la courbe de Fargues–Fontaine
Espaces de Banach–Colmez et faisceaux cohérents sur la courbe de Fargues–Fontaine
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 category to the other by changing the t-structure on the derived category. …