Equations of hyperelliptic Shimura curves

We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to an indefinite quaternion algebra over Q and Atkin-Lehner quotients of them. It exploits Cerednik-Drinfeld’s nonarchimedean uniformisation of Shimura curves, a formula of Gross and Zagier for the endomorphism ring of Heegner points over Artinian rings and the connection between Ribet’s bimodules and the specialization of Heegner points, as introduced in [21]. As an application, we provide a list of equations of Shimura curves and quotients of them obtained by our algorithm that had been conjectured by Kurihara.

Socio-economic inequalities in health in Catalonia

In this paper we measure the degree of income related inequality in mental health as measured by the GHQ instrument and general health as measured by the EQOL-5D instrument for the Catalan population. We find that income is the main contributor to inequality, although the share of inequality in mental health that can be explained by income is much greater than the corresponding share of inequality in general health. We also find that the variation in demographic structure reduces income related inequality in mental health but increases income related inequality in general health. The regional variations in both instruments for health are striking, with the Barcelona districts faring relatively bad with respect to the rest of geographical areas and Lleida being the health region where, all else held equal, the population reports the greatest level of health. A big share of inequality in the two health measures, but specially mental health, is due to the favourable position in both health and income of those who enjoy an indefinite contract with respect to the rest of individuals. We also find that risky working conditions affect both health measures and are able to explain an important share of socio-economic inequality.

Particle and string fluid interpretation for the scalar sector of Kaluza-Klein theories

The scalar sector of the effective low-energy six-dimensional Kaluza-Klein theory is seen to represent an anisotropic fluid composed of two perfect fluids if the extra space metric has a Euclidean signature, or a perfect fluid of geometric strings if it has an indefinite signature. The Einstein field equations with such fluids can be explicitly integrated when the four-dimensional space-time has two commuting Killing vectors.

Ignorance and Indifference: Epistemic Indefinites in Slovak

This thesis investigates epistemic indefinites (EIs), elements noteworthy for their grammaticalized ignorance implicature, i.e. inability to provide further information about the identity of the expression's referent. This work contributes to the effort of finding a unified account of the cross-linguistic repertoire of EIs. It comprises a corpus survey and a semantic analysis of Slovak voľa- and -si, EI items not studied until now. First, the following hypothesis was tested: the semantic/syntactic functions expressed by an indefinite will fall into contiguous areas on an implicational map (Haspelmath 1997). The results of the corpus analysis revealed that the map does not entirely capture the Slovak EIs' functional distribution and interpretations. Secondly, the semantic analysis was developed within the alternatives-and-exhaustification framework (Chierchia 2013). I show that some of the EIs' behavior can be explained as a consequence of an assumed sensitivity to parameters proposed by Chierchia. I situate voľa- and -si with respect to the framework’s typology and offer a critical assessment of this theoretical perspective.