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Mostrando ítems 11-20 de 26
Tesis Doctoral
Quantum álgorithms for the combinatorial invariants of numerical semigroups
(2019)
It was back in spring 2014 when the author of this doctoral dissertation was finishing its master thesis, whose main objective was the understanding of Peter W. Shor’s most praised result, a quantum algorithm capable ...
Artículo
Thue equations and torsion groups of elliptic curves
(Elsevier, 2009-02)
A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equations.
Artículo
Integral points in rational polygons: a numerical semigroup approach
(Springer, 2016)
In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to give a formula for the number of integral points inside a right-angled triangle with rational ...
Artículo
A generalisation of the Phase Kick-Back
(Springer, 2023-03-13)
In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical algorithms in quantum computing. We will begin by recalling the Phase Kick-Back technique to then ...
Artículo
Some geometric aspects of Puiseux surfaces
(European Mathematical Society, 2003)
The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whose roots are Puiseux power series), using ...
Artículo
On the singular braid monoid of an orientable surface
(American Mathematical Society, 2004)
In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
Artículo
Markoff-Rosenberger triples in arithmetic progression
(Elsevier, 2013-06)
We study the solutions of the Rosenberg–Markoff equation ax2 + by2 + cz2 = dxyz (a generalization of the well–known Markoff equation). We specifically focus on looking for solutions in arithmetic progression that lie in ...
Artículo
Equimultiple locus of embedded algebroid surfaces and blowing-up in characteristic zero
(Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 2004)
The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution process, both classical and modern.In this paper we explore how it changes by blowing–up.
Artículo
Torsion of rational elliptic curves over cubic fields
(Rocky Mountain Mathematics Consortium, 2016)
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a cubic number field. In particular, we study the number of cubic ...
Artículo
On the computation of the Apéry set of numerical monoids and affine semigroups
(Springer, 2014-10-01)
A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner bases, is presented, together with a generalization for affine semigroups. This computation allows ...