Results 31 to 40 of about 238 (137)
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
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Solving the n $n$‐Player Tullock Contest
Journal of Public Economic Theory, Volume 28, Issue 2, April 2026.ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley +1 more source
Computing one of Victor Moll's irresistible integrals with computer algebra [PDF]
Computer Science Journal of Moldova, 2008 We investigate a certain quartic integral from V. Moll's book “Irresistible Integrals” and demonstrate how it can be solved by computer algebra methods, namely by using non-commutative Gröbner bases.
Christoph Koutschan, Viktor Levandovskyy
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R symmetries and a heterotic MSSM
Nuclear Physics B, 2015 We employ powerful techniques based on Hilbert and Gröbner bases to analyze particle physics models derived from string theory. Individual models are shown to have a huge landscape of vacua that differ in their phenomenological properties. We explore the
Rolf Kappl +2 more
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Generalizing Determinacy under Monetary and Fiscal Policy Switches: The Case of the Zero Lower Bound
Journal of Money, Credit and Banking, Volume 58, Issue 2, Page 421-448, March 2026.Abstract In a fixed‐regime context, it has been established since the work of Leeper (1991) that a determinate and unique equilibrium can be achieved under both monetary dominance (characterized by an active monetary policy and a passive fiscal policy) and fiscal dominance (characterized by an active fiscal policy and a passive monetary policy) regimes
SEONGHOON CHO, ANTONIO MORENO
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Gröbner Bases and Minimum Distance of Affine Varieties Codes
Trends in Computational and Applied Mathematics, 2012 Nesse trabalho apresentamos um método para estimar a distância mínima de códigos de variedades afins. Nossa técnica usa propriedades da pegada de um ideal obtido através do aumento do ideal de definição da variedade em questão.
Cícero Carvalho
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Divisors on graphs, Connected flags, and Syzygies [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We study the binomial and monomial ideals arising from linear equivalence of divisors on graphs from the point of view of Gröbner theory. We give an explicit description of a minimal Gröbner basis for each higher syzygy module.
Fatemeh Mohammadi, Farbod Shokrieh
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A tropical approach to rigidity: Counting realisations of frameworks
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract A realisation of a graph in the plane as a bar‐joint framework is rigid if there are finitely many other realisations, up to isometries, with the same edge lengths. Each of these finitely many realisations can be seen as a solution to a system of quadratic equations prescribing the distances between pairs of points.
Oliver Clarke +6 more
wiley +1 more source
Border Basis of an Ideal of Points and its Application in Experimental Design and Regression
پژوهشهای ریاضی, 2020 Introduction Border bases are a generalization of Gröbner bases for zero-dimensional ideals which have attracted the interest of many researchers recently. More precisely, border bases provide a new method to find a structurally stable monomial basis for
Samira Poukhajouei +2 more
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