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arxiv: 1512.01645 · v1 · pith:WZLZRQXHnew · submitted 2015-12-05 · 🧮 math.GT

An algorithm for the Euclidean cell decomposition of a cusped strictly convex projective surface

classification 🧮 math.GT
keywords convexdecompositionprojectivestrictlyalgorithmcellcuspedeuclidean
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Cooper and Long generalised Epstein and Penner's Euclidean cell decomposition of cusped hyperbolic manifolds of finite volume to non-compact strictly convex projective manifolds of finite volume. We show that Weeks' algorithm to compute this decomposition for a hyperbolic surface generalises to strictly convex projective surfaces.

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