Antoine Ablondi

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math.DG2026

An Affine Invariant Minkowski Problem

Antoine Ablondi

In Euclidean space, the generalised Minkowski problem asks, for a given finite Radon measure $μ$ on the unit sphere $S^{d}$ , to find a compact convex set $K$ with area measu…

math.DG2025

Affine Deformations of Divisible Convex Cones and Affine Spacetimes

Antoine Ablondi

Let $G$ be a subgroup of $SL (R^{d + 1}) ⋉ R^{d + 1}$ obtained by adding a translation part to a torsion-free discrete subgroup of $\mathrm{SL}(\mathbb{R}…