We prove the equivalence between the categories of motives of rigid analytic varieties over a perfectoid field K of mixed characteristic and over the associated (tilted) perfectoid field K♭ of equal characteristic. This can be considered as a motivic generalization of a theorem of Fontaine and Wintenberger, claiming that the Galois groups of K and K♭ are isomorphic. A main tool for constructing the equivalence is Scholze's theory of perfectoid spaces.
A MOTIVIC VERSION OF THE THEOREM OF FONTAINE AND WINTENBERGER / A. Vezzani ; tutor: L. Barbieri Viale, J. Ayoub ; coordinator: L. Van Geemen. DIPARTIMENTO DI MATEMATICA "FEDERIGO ENRIQUES", 2014 Jul 28. 26. ciclo, Anno Accademico 2013. [10.13130/vezzani-alberto_phd2014-07-28].
A MOTIVIC VERSION OF THE THEOREM OF FONTAINE AND WINTENBERGER
A. Vezzani
2014
Abstract
We prove the equivalence between the categories of motives of rigid analytic varieties over a perfectoid field K of mixed characteristic and over the associated (tilted) perfectoid field K♭ of equal characteristic. This can be considered as a motivic generalization of a theorem of Fontaine and Wintenberger, claiming that the Galois groups of K and K♭ are isomorphic. A main tool for constructing the equivalence is Scholze's theory of perfectoid spaces.
| File | Dimensione | Formato | |
|---|---|---|---|
|
phd_unimi_R08962.pdf
accesso aperto
Tipologia:
Tesi di dottorato completa
Dimensione
899.88 kB
Formato
Adobe PDF
|
899.88 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
