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arxiv: 1704.00883 · v1 · pith:XAKWRZUDnew · submitted 2017-04-04 · 🧮 math.AG · math.MG

B\'ezout type inequality in convex geometry

classification 🧮 math.AG math.MG
keywords convexinequalitybodiesezoutgeometrytypecomplexcorrespondence
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We give a B\'ezout type inequality for mixed volumes, which holds true for any convex bodies. The key ingredient is the reverse Khovanskii-Teissier inequality for convex bodies, which was obtained in our previous work and inspired by its correspondence in complex geometry.

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