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arxiv: 1811.08395 · v1 · pith:KHTJDGE5new · submitted 2018-11-20 · 🧮 math.AG · cs.CG· math.MG

Voronoi Cells of Varieties

classification 🧮 math.AG cs.CGmath.MG
keywords voronoialgebraiccellsspacevarietyambientboundariescell
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Every real algebraic variety determines a Voronoi decomposition of its ambient Euclidean space. Each Voronoi cell is a convex semialgebraic set in the normal space of the variety at a point. We compute the algebraic boundaries of these Voronoi cells.

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