Results 21 to 30 of about 187 (48)
Wulff shapes and a characterization of simplices via a Bezout type inequality [PDF]
, 2018 Inspired by a fundamental theorem of Bernstein, Kushnirenko, and Khovanskii we study the following Bezout type inequality for mixed volumes $$ V(L_1,\dots,L_{n})V_n(K)\leq V(L_1,K[{n-1}])V(L_2,\dots, L_{n},K).
Saroglou, Christos +2 more
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Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies
, 2013 Let K \subset R^N be a convex body containing the origin. A measurable set G \subset R^N with positive Lebesgue measure is said to be uniformly K-dense if, for any fixed r > 0, the measure of G \cap (x + rK) is constant when x varies on the boundary of G
CM Petty +15 more
core +1 more source
, 2019 A flag area measure on an $n$-dimensional euclidean vector space is a continuous translation-invariant valuation with values in the space of signed measures on the flag manifold consisting of a unit vector $v$ and a $(p+1)$-dimensional linear subspace ...
Abardia-Evéquoz, Judit +2 more
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Intersections of Amoebas [PDF]
, 2016 Amoebas are projections of complex algebraic varieties in the algebraic torus under a Log-absolute value map, which have connections to various mathematical subjects.
de Wolff, Timo, Juhnke-Kubitzke, Martina
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Combinatorial mixed valuations
, 2017 Combinatorial mixed valuations associated to translation-invariant valuations on polytopes are introduced. In contrast to the construction of mixed valuations via polarization, combinatorial mixed valuations reflect and often inherit properties of ...
Jochemko, Katharina, Sanyal, Raman
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Mixed volume and an extension of intersection theory of divisors [PDF]
, 2010 Let K(X) be the collection of all non-zero finite dimensional subspaces of rational functions on an n-dimensional irreducible variety X. For any n-tuple L_1,..., L_n in K(X), we define an intersection index [L_1,..., L_n] as the number of solutions in X ...
Kaveh, Kiumars, Khovanskii, A. G.
core
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]
Calc Var Partial Differ Equ, 2022 Colesanti A, Ludwig M, Mussnig F.
europepmc +1 more source
The Alexandrov-Fenchel type inequalities, revisited
, 2018 Various Alexandrov-Fenchel type inequalities have appeared and played important roles in convex geometry, matrix theory and complex algebraic geometry.
Li, Ping
core
Some inequalities for ( p , q ) -mixed volume. [PDF]
J Inequal Appl, 2018 Chen B, Wang W.
europepmc +1 more source
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A class of prescribed Weingarten curvature equations in Euclidean space
Communications in Partial Differential Equations, 2021Qiang Tu
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