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math.MG2025
Non-Archimedean Hilbert geometry and degenerations of real Hilbert geometries
Xenia Flamm, Anne Parreau
We develop a theory of Hilbert geometry over general ordered valued fields, associating with an open convex subset of the projective space a quotient Hilbert metric space. Under na…
math.MG2015
On triples of ideal chambers in A2-buildings
Anne Parreau
We investigate the geometry in a real Euclidean building X of type A2 of some simple configurations in the associated projective plane at infinity P, seen as ideal configurations i…