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Deux types de courbures sont associés à un sous-ensemble compact et définissable d'une
variété riemannienne analytique réelle. Si la variété est de courbure constante, il y a
des relations linéaires entre ces mesures. Comme application, nous démontrons une formule
cinématique, définissons des densités locales, et nous étudions les volumes des simplexes
réguliers.
The tempered fundamental group of a -adic analytic space classifies covers that are dominated by a topological cover (for the Berkovich topology) of a finite étale cover of the space. Here we construct cospecialization homomorphisms between versions of the tempered fundamental groups of the fibers of a smooth family of curves with semistable reduction. To do so, we will translate our problem in terms of cospecialization morphisms of fundamental groups of the log fibers of the log reduction and...
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