10 citations · 21 across the 6 of their papers we have counts for
7 papers
Resultant multiplicity via projective degrees and applications to tensor eigenvalues
Mahmut Levent Doğan, Elias Tsigaridas, Zafeirakis Zafeirakopoulos
Given a system of homogeneous forms in variables of the same degree, Macaulay's resultant vanishes precisely when the polynomials have a commo…
Small Resultant Systems via Linear Combinations
M. Levent Doğan, Elias Tsigaridas, Zafeirakis Zafeirakopoulos
For a system of homogeneous polynomials of degree in variables, say , we consider the problem of constructing resultant systems. A resultant system is a f…
PTOPO: Computing the Geometry and the Topology of Parametric Curves
Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas
We consider the problem of computing the topology and describing the geometry of a parametric curve in . We present an algorithm, PTOPO, that constructs an abstract g…
Generating functions and triangulations for lecture hall cones
Matthias Beck, Benjamin Braun, Matthias Köppe +2
We investigate the arithmetic-geometric structure of the lecture hall cone \[ L_n \ := \ \left\{λ\in \mathbb{R}^n: \, 0\leq \frac{λ_1}{1}\leq \frac{λ_2}{2}\leq \frac{λ_3}{3}\leq \c…
Polyhedral Omega: A New Algorithm for Solving Linear Diophantine Systems
Felix Breuer, Zafeirakis Zafeirakopoulos
Polyhedral Omega is a new algorithm for solving linear Diophantine systems (LDS), i.e., for computing a multivariate rational function representation of the set of all non-negative…
On Computing the Elimination Ideal Using Resultants with Applications to Gröbner Bases
Matteo Gallet, Hamid Rahkooy, Zafeirakis Zafeirakopoulos
Resultants and Gröbner bases are crucial tools in studying polynomial elimination theory. We investigate relations between the variety of the resultant of two polynomials and the v…
s-Lecture Hall Partitions, Self-Reciprocal Polynomials, and Gorenstein Cones
Matthias Beck, Benjamin Braun, Matthias Köppe +2
In 1997, Bousquet-Melou and Eriksson initiated the study of lecture hall partitions, a fascinating family of partitions that yield a finite version of Euler's celebrated odd/distin…