WebThese equivalences “glue” to a non-affine setting. For a perfectoid algebra A, let Spa(A) be the “adic spectrum of A,” whose points are continuous valuations jj : A !G [f0gsuch that jaj6 1 for all a 2A , and G ranges over arbitrary totally ordered groups. For x 2X = Spa(A) and f 2A, write jf(x)j= jfjx 2Gx. The set X carries a natural ... WebIn 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 surprisingly, the deepest results in this direction seem to be of the second type, including the descent of properties of being a good analytic space and being a morphism without boundary.

(PDF) Reified valuations and adic spectra - ResearchGate

http://math.stanford.edu/~conrad/papers/Adicnotes.pdf WebAbstract. We revisit Huber’s theory of continuous valuations, which give rise to the adic spectra used in his theory of adic spaces. In par-ticular, we consider valuations which … highre education budget plannign cycle

Reified valuations and adic spectra - DeepDyve

WebAbstract. We revisit Huber’s theory of continuous valuations, which give rise to the adic spectra used in his theory of adic spaces. In par-ticular, we consider valuations which have been ... WebMay 14, 2024 · Continuous valuations R. Huber Mathematics 1993 0 Introduction In this paper we study, for a certain type of topological rings A, the topological space Cont A of all equivalence classes of continuous valuations of A. The space ContA is defined as… Expand 82 PDF Non-Archimedean Analysis: A Systematic Approach to Rigid Analytic … WebREIFIED VALUATIONS AND ADIC SPECTRA KIRAN S. KEDLAYA Abstract. We revisit Huber’s theory of continuous valuations, which give rise to the adic spectra used in his theory of adic spaces. We instead consider valuations which have been reified, i.e., whose value groups have been forced to contain the real numbers. This yields reified … highreach learning curriculum