10 citations · 15 across the 4 of their papers we have counts for
4 papers
Descent for non-archimedean analytic spaces
Brian Conrad, Michael Temkin
In this paper we study two types of descent in the category of Berkovich analytic spaces: flat descent and descent with respect to an extension of the ground field. Quite surprisin…
Nagata compactification for algebraic spaces
Brian Conrad, Max Lieblich, Martin Olsson
We prove the Nagata compactification theorem for any separated map of finite type between quasi-compact and quasi-separated algebraic spaces, generalizing earlier results of Raoult…
Non-archimedean analytification of algebraic spaces
Brian Conrad, Michael Temkin
It is now a classical result that an algebraic space locally of finite type over is analytifiable if and only if it is locally separated. In this paper we study non-ar…
Root numbers and ranks in positive characteristic
B. Conrad, K. Conrad, H. Helfgott
For a global field K and an elliptic curve E_eta over K(T), Silverman's specialization theorem implies that rank(E_eta(K(T))) <= rank(E_t(K)) for all but finitely many t in P^1(K).…