Results 31 to 40 of about 3,441,413 (166)
Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
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Block ciphers sensitive to Gröbner Basis Attacks
, 2005 We construct and analyze Feistel and SPN ciphers that have a sound design strategy against linear and differential attacks but for which the encryption process can be described by very simple polynomial equations. For a block and key size of 128 bits, we
Johannes Buchmann +6 more
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Primitivity testing in free group algebras via duality
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel +2 more
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Cryptanalysis of Weyl Gröbner Basis Cryptosystems. [PDF]
, 2014 Weyl Gröbner Basis Cryptosystem, published in 2011, is a new noncommutative Gröbner basis cryptosystem variant with no cryptanalysis yet performed.
Jakutis, Vytautas,
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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
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Grobner Basis Approach to Some Combinatorial Problems [PDF]
Computer Science Journal of Moldova, 2012 We consider several simple combinatorial problems and discuss different ways to express them using polynomial equations and try to describe the \GB of the corresponding ideals. The main instruments are complete symmetric polynomials that help to express
Victor Ufnarovski
doaj
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
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, 2018 The Gröbner Basis are an important tool in Computational Algebra, Commutative Algebra and Algebraic Geometry. Bruno Buchberger (1942-) found them as a result of his doctorate and named them in honor of his advisor Wolfgang Gröbner (1899-1980).
Campos, Arthur Ferreira
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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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Symbolic-Numerical Modeling of the Influence of Damping Moments on Satellite Dynamics
EPJ Web of Conferences, 2018 The dynamics of a satellite on a circular orbit under the influence of gravitational and active damping torques, which are proportional to the projections of the angular velocity of the satellite, is investigated.
Gutnik Sergey A., Sarychev Vasily A.
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