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math.NT2025
Topological adelic curves: Zariski-Riemann spaces, algebraic coverings, Harder-Narsimhan filtrations and heights
Antoine Sédillot
In this article, we introduce topological adelic curves. Roughly speaking, a topological adelic curve is a topological space of (generalised) absolute values on a given field satis…
math.NT2024
Pseudo-absolute values: foundations
Antoine Sédillot
In this article, we introduce pseudo-absolute values, which generalise usual absolute values. Roughly speaking, a pseudo-absolute value on a field is a map $|\cdot| : K \to [0,…