Now showing items 1-7 of 7

• #### Computation of numerical semigroups by means of seeds ﻿

(2018-09-01)
Article
Open Access
For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of seed by broadening the notion of generator. This new concept allows us to explore the semigroup tree in ...
• #### Functions and differentials on the non-split Cartan modular curve of level 11 ﻿

(2017-01-01)
Article
Open Access
The genus 4 modular curve Xns(11) attached to a non-split Cartan group of level 11 admits a model defined over Q. We compute generators for its function field in terms of Siegel modular functions. We also show that its ...
• #### On elliptic Galois representations and genus-zero modular units ﻿

(2006-07-03)
Article
Open Access
Given an odd prime \,$p$\, and a representation $\varrho$\, of the absolute Galois group of a number field $k$ onto $\mathrm{PGL}_2(\mathbb{F}_p)$ with cyclotomic determinant, the moduli space of elliptic curves defined ...
• #### El Palau Maricel : un exemple de modernisme a Sitges ﻿

(Universitat Politècnica de Catalunya, 2010)
Master thesis (pre-Bologna period)
Open Access
L’objecte d’aquest Projecte Final de Carrera es basa en l’estudi de l’edifici del Palau Maricel, situat a Sitges. Aquest edifici forma part del conjunt de Maricel, que popularment es va dividir en Maricel Mar i Maricel ...
• #### Rational points on twists of X0(63) ﻿

(2006-02-07)
Article
Open Access
Let $\varrho\colon G_\mathbb{Q}\longrightarrow PGL_2(\mathbb{F}_p)$ be a Galois representation with cyclotomic determinant, and let $N>1$ be an integer that is square mod $p$. There exist two twisted modular curves ...
• #### Residual ideals of MacLane valuations ﻿

(2015)
Article
Open Access
Let K be a field equipped with a discrete valuation v. In a pioneering work, MacLane determined all valuations on K(x) extending v. His work was recently reviewed and generalized by Vaqui´e, by using the graded algebra ...
• #### The automorphism group of the non-split Cartan modular curve of level 11 ﻿

(2014-11-01)
Article
Restricted access - publisher's policy
We derive equations for the modular curve X-ns(11) associated to a non-split Cartan subgroup of GL(2)(F-11). This allows us to compute the automorphism group of the curve and show that it is isomorphic to Klein's four ...