Gale duality and Koszul duality
Advances in Mathematics, 2010 55 pages; v2 contains significant revisions to proofs and to some of the results.
Anthony Licata +2 more
exaly +8 more sources
Graphical designs and gale duality
Mathematical Programming, 2022 32 pages, 14 figures, 1 ...
Catherine Babecki +2 more
exaly +4 more sources
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 +2 more
exaly +6 more sources
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 +2 more
exaly +7 more sources
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
exaly +4 more sources
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
exaly +8 more sources
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
exaly +4 more sources
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 ...
Steven Simon
exaly +3 more sources
Geophysical Monograph Series, Page 117-131., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Benjamin Black +4 more
wiley +1 more source
Gale duality and the linearisation map for noncommutative crepant resolutions
, 2021 23 ...
openaire +2 more sources