34 citations · 125 across the 47 of their papers we have counts for
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math.MG2013★ 4 cited
On the theory of coconvex bodies
Askold Khovanskii, Vladlen Timorin
If the complement of a closed convex set in a closed convex cone is bounded, then this complement minus the apex of the cone is called a coconvex set. Coconvex sets appear in singu…
math.MG2013★ 5 cited
Aleksandrov-Fenchel inequality for coconvex bodies
Askold Khovanskii, Vladlen Timorin
We prove a version of the Aleksandrov-Fenchel inequality for mixed volumes of coconvex bodies. This version is motivated by an inequality from commutative algebra relating intersec…