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10 relations: Algebra, Algebraic equation, Askold Khovanskii, Bernstein–Kushnirenko theorem, Convex hull, Convex lattice polytope, Inventiones Mathematicae, Joseph Bernstein, Laurent polynomial, Mixed volume.
Algebra
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
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Algebraic equation
In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers.
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Askold Khovanskii
Askold Georgievich Khovanskii (Аскольд Георгиевич Хованский; born 3 June 1947, Moscow) is a Russian and Canadian mathematician currently a professor of mathematics at the University of Toronto, Canada.
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Bernstein–Kushnirenko theorem
Bernstein–Kushnirenko theorem (also known as BKK theorem or Bernstein–Khovanskii–Kushnirenko theorem), proven by David Bernstein and in 1975, is a theorem in algebra.
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Convex hull
In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.
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Convex lattice polytope
A convex lattice polytope (also called Z-polyhedron or Z-polytope) is a geometric object playing an important role in discrete geometry and combinatorial commutative algebra.
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Inventiones Mathematicae
Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media.
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Joseph Bernstein
Joseph Bernstein (sometimes spelled I. N. Bernshtein; יוס(י)ף נאומוביץ ברנשטיין; Иосиф Наумович Бернштейн, Iosif Naumovič Bernštejn; born 18 April 1945) is an Israeli mathematician working at Tel Aviv University.
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Laurent polynomial
In mathematics, a Laurent polynomial (named after Pierre Alphonse Laurent) in one variable over a field \mathbb is a linear combination of positive and negative powers of the variable with coefficients in \mathbb.
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Mixed volume
In mathematics, more specifically, in convex geometry, the mixed volume is a way to associate a non-negative number to an n-tuple of convex bodies in the n-dimensional space.
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BKK theorem, Bernstein-Khovanskii-Kushnirenko theorem, Bernstein-Kushnirenko theorem, Bernstein–Khovanskii–Kushnirenko theorem, Newton polytope.
References
[1] https://en.wikipedia.org/wiki/Bernstein–Kushnirenko_theorem
