Results 1 to 10 of about 163,363 (156)
Gale duality and Koszul duality [PDF]
Advances in Mathematics, 2010 55 pages; v2 contains significant revisions to proofs and to some of the results.
Ben Webster +2 more
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Gale duality for complete intersections [PDF]
Annales De L'Institut Fourier, 2008 We show that every complete intersection defined by Laurent polynomials in an algebraic torus is isomorphic to a complete intersection defined by master functions in the complement of a hyperplane arrangement, and vice versa. We call systems defining such isomorphic schemes Gale dual systems because the exponents of the monomials in the polynomials ...
Frédéric Bihan, Frank Sottile
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Graphical designs and gale duality [PDF]
Mathematical Programming, 2022 32 pages, 14 figures, 1 ...
Rekha Thomas, Catherine Babecki
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Gale Duality and the Neighborliness of Random Polytopes. II
Моделирование и анализ информационных систем, 2012 We have obtain of some distribution-independent results on the k-neighborliness of random polytopes. They confirm the well-known Gale conjecture for the general case.
A. G. Brodskiy
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Gale duality and free resolutions of ideals of points [PDF]
Inventiones Mathematicae, 1999 What is the shape of the free resolution of the ideal of a general set of points in P^r? This question is central to the programme of connecting the geometry of point sets in projective space with the structure of the free resolutions of their ideals. There is a lower bound for the resolution computable from the (known) Hilbert function, and it seemed ...
David Eisenbud, Sorin Popescu
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A numerical ampleness criterion via Gale duality [PDF]
Applicable Algebra in Engineering, Communications and Computing, 2016 The main object of the present paper is a numerical criterion determining when a Weil divisor of a $\Q$--factorial complete toric variety admits a positive multiple Cartier divisor which is either numerically effective (nef) or ample. It is a consequence of $\Z$--linear interpretation of Gale duality and se\-con\-dary fan as developed in several ...
Michele Rossi, Lea Terracini
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Gale duality and homogeneous toric varieties [PDF]
Communications in Algebra, 2018 A non-degenerate toric variety $X$ is called $S$-homogeneous if the subgroup of the automorphism group $\text{Aut}(X)$ generated by root subgroups acts on $X$ transitively. We prove that maximal $S$-homogeneous toric varieties are in bijection with pairs $(P,\mathcal{A})$, where $P$ is an abelian group and $\mathcal{A}$ is a finite collection of ...
Ivan Arzhantsev
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Gale duality bounds for roots of polynomials with nonnegative coefficients
Journal of Combinatorial Theory - Series A, 2010 25 pages, 10 figures. Final version incorporating referees' comments, to appear in J. Comb.
Julian Pfeifle
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Fan Distributions Via Tverberg Partitions and Gale Duality
Discrete and Computational GeometryEquipartition theory, beginning with the classical ham sandwich theorem, seeks the fair division of finite point sets in $\mathbb{R}^d$ by the full-dimensional regions determined by a prescribed geometric dissection of $\mathbb{R}^d$. Here we examine $\textit{equidistributions}$ of finite point sets in $\mathbb{R}^d$ by prescribed $\textit{low ...
Shuai Huang +3 more
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Gale Duality and the Neighborliness of Random Polytopes. I
Моделирование и анализ информационных систем, 2015 We construct the duality for special probability spaces using the Gale duality.
A. G. Brodskiy
doaj +3 more sources