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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 …
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 $(k,k^\circ)$. …