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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

4 votes
1 answer
389 views

Unique way to topologise finite algebra over Huber ring

Let me start with the following Lemma. $\textbf{Lemma}$ Let $A$ be a Tate ring, and let $f\colon A\to B$ be a finite $A$-algebra. Then there is a unique way to topologise $B$ turning it into a Hub …
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  • 83
3 votes
1 answer
463 views

Extending section of étale morphism of adic spaces

This question is related to Lifting points via étale morphism of adic spaces. Fix a complete non-archimedean field $k$. Let $(A,A^+)$ be a complete strongly noetherian Huber pair over $(k,k^\circ)$. …
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  • 83