On the newton polytope of the resultant

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August undefined, 2024

WebThe resultant is fundamental in algebraic elimination, optimization, and geometric modeling. Our algorithm exactly computes vertex- and halfspace-representations of the polytope … WebIn algebraic geometry, a Newton–Okounkov body, also called an Okounkov body, is a convex body in Euclidean space associated to a divisor (or more generally a linear system) on a variety.The convex geometry of a Newton–Okounkov body encodes (asymptotic) information about the geometry of the variety and the divisor. It is a large generalization …

Elimination theory and Newton polytopes. arXiv:math/0611107v2 …

Web19 de out. de 2024 · We conjecture it describes the Newton polytope of Schubert and key polynomials. We also define dominance order on permutations and study its poset … Web1 de jan. de 2013 · Polytopes A software framework for computing Newton polytopes of resultants and (reduced) discriminants Authors: Ioannis Z Emiris Athena-Research and Innovation Center in Information,... sharecast rat

ON THE NEWTON POLYTOPE - American Mathematical Society

Web1 de dez. de 1990 · NEWTON POLYTOPE OF THE RESULTANT: FORMULATION OF THE RESULTS Let m, n>, 1 and P (x) =aoxm+a,xn'-1+---+a,n, Q (x) =box"+ b, x" -1 + - + … Webthe authors study the resultant of two univariate polynomials and describe the facets of its Newton polytope. In [GKZ90], the extreme monomials of the Sylvester resultant are … Web1 de abr. de 1994 · On the Newton Polytope of the Resultant B. Sturmfels Published 1 April 1994 Mathematics Journal of Algebraic Combinatorics The study of Newton … sharecast petrofac

Elimination theory and Newton polytopes - University of …

On the Newton Polytope of the Resultant Journal of Algebraic ...

Web25 de abr. de 2024 · The first algorithm we develop functions as a numerical oracle for the Newton polytope of a hypersurface and is based on ideas of Hauenstein and Sottile. Additionally, we construct a numerical tropical membership algorithm which uses the former algorithm as a subroutine. WebFor a system of polynomials with A = (A1, . . . , Ak) as supports, the Newton polytope of the resultant, or resultant polytope, is the convex hull of the resultant monomial exponent vectors in Z and encodes certain combinatorial properties of the resultant polynomial. Using tropical hypersurface fan traversals, we investigate the f vectors … sharecast rioWeb1 de mai. de 2000 · Our algorithm uses a mixed polyhedral subdivision of the Minkowski sum of the Newton polytopes in order to construct a Newton matrix. Its determinant is a … sharecast portmerion

"Web30 de ago. de 2011 · Abstract: We design an algorithm to compute the Newton polytope of the resultant, known as resultant polytope, or its orthogonal projection along a given … " - On the newton polytope of the resultant

On the newton polytope of the resultant

[1108.5985v1] Efficient Computation of Newton Polytopes of …

WebDOI: 10.1090/btran/142 Corpus ID: 233307279; Newton–Okounkov polytopes of flag varieties and marked chain-order polytopes @article{Fujita2024NewtonOkounkovPO, title={Newton–Okounkov polytopes of flag varieties and marked chain-order polytopes}, author={Naoki Fujita}, journal={Transactions of the American Mathematical Society, … Web26 de jun. de 2013 · The Newton polytope of the resultant, or resultant polytope, characterizes the resultant polynomial more precisely than total degree. The combinatorics of resultant polytopes are...

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WebNewton polygon of the polynomial/,(x) in the plane F =7', and finally let Ijip) be the lower line of support of II, with slope — p in the plane F=i-Proposition 3. Let fix, y)EK[x, y], let r, … WebPDF The study of Newton polytopes of resultants and discriminants has its orgin in the work of Gelfand, Kapranov, and Zelevinsky on generalized hypergeometric functions (see e.g., [8]). Central to this theory is the notion of the A-discriminant AA, which is the discriminant of a Laurent polynomial with specified support set A (see [6, 7]). Two main …

WebPDF The study of Newton polytopes of resultants and discriminants has its orgin in the work of Gelfand, Kapranov, and Zelevinsky on generalized hypergeometric functions … WebNewton polytope of the resultant N(R), or resultant polytope, in particular when some of the coe cients are not symbolic, in which case we seek a projection of the resultant polytope. We exploit an equivalence relation de ned on the secondary vertices. The class representatives cor-respond bijectively to the resultant vertices. This

WebNewton polytopes and generic coefﬁcients of the components (implicitization theory): the Newton polytope was described by Sturmfels, Tevelev, and Yu (see [4]). 5. To describe the Newton polytope and the leading coefﬁcients of a multidimensional resul-tant: the Newton polytope and the absolute values of leading coefﬁcients were computed Web1 de fev. de 2024 · The theory of Newton polytopes studies the invariants of the set of solutions of a generic system of equations with a prescribed set of monomials in terms of the invariants of the Newton polytope . All the invariants mentioned above have been studied from this point of view since the 1970s; see [ 42 ], [ 4 ], [ 35 ], [ 64 ], and [ 40 ].

Web30 de ago. de 2011 · The resultant is the most fundamental tool in algebraic variable elimination; it captures the solvability of an overconstrained polynomial system and yields …

http://www.kurims.kyoto-u.ac.jp/EMIS/journals/JACO/Volume3_2/m4496732732u7744.fulltext.pdf sharecast renishawWebOn the Newton Polytope of the Resultant* BERND STURMFELS Department of Mathematics, Cornell University, Ithaca, NY 14853 Received January 6, 1993; Revised … sharecast rightmoveWebCalculate the mean resultant force on the car during that time. (Hint: use SUVAT equations before Newtons second law) Question. A car of mass 2000kg accelerates from 0 to 30 ms^-1 in 5.5 seconds. Calculate the mean resultant force on the car during that time. (Hint: use SUVAT equations before Newtons second law) Expert Solution. Want to see the ... sharecast rswWeb30 de ago. de 2011 · We design an algorithm to compute the Newton polytope of the resultant, known as resultant polytope, or its orthogonal projection along a given direction. The resultant is fundamental... sharecast shellWebwhen the corresponding Newton polytope has dimension up to three. The following results are established: (1) When the dimension is 1, the Mahler measure is zero. ... 23. B. Sturmfels, On the Newton polytope of the resultant, J. Algebraic Combin. 3 (2) (1994) 207–236. MR1268576 (95j:52024) 24. D. pool life ringWeb1 de dez. de 1990 · ADVANCES IN MATHEMATICS 84, 237-254 (1990) Newton Polytopes of the Classical Resultant and Discriminant I. M. GELFAND,* M. M. KAPRANOV,t AND A. V. ZELEVINSKYt * A. N. Belozersky Laboratory of Molecular Biology and Bioorganic Chemistry, Laboratory Building A, Moscow State University, Moscow 117234, USSR t … sharecast sageWebOn the Newton Polytope of the Resultant Bernd Sturmfels Journal of Algebraic Combinatorics 3 , 207–236 ( 1994) Cite this article 537 Accesses 121 Citations Metrics Download to read the full article text References D.N. Bernstein, “The number of roots of … pool life ring holder