Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields

In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, which are non-degenerate with respect to their Newton polytopes at infinity. As an application we obtain asymptotic expansions for p-adic oscillatory integrals attached to Laurent polynomials. We show the existence of two different asymptotic expansions for p-adic oscillatory integrals, one when the absolute value of the parameter approaches infinity, the other when the absolute value of the parameter approaches zero. These two asymptotic expansions are controlled by the poles of twisted local zeta functions of Igusa type.Comment: The condition on the critical set on the mapping f considered in Section 2.5 of our article is not sufficient to assure the vanishing of the twisted local zeta functions (for almost all the characters) as we assert in Theorem 3.9. A new condition on the mapping f is provide

Igusa's Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials

We study the twisted local zeta function associated to a polynomial in two variables with coefficients in a non-Archimedean local field of arbitrary characteristic. Under the hypothesis that the polynomial is arithmetically non degenerate, we obtain an explicit list of candidates for the poles in terms of geometric data obtained from a family of arithmetic Newton polygons attached to the polynomial. The notion of arithmetical non degeneracy due to Saia and Z\'u\~niga-Galindo is weaker than the usual notion of non degeneracy due to Kouchnirenko. As an application we obtain asymptotic expansions for certain exponential sums attached to these polynomials.Comment: 20 pages. In this version there is a more precise statement of Lemma 2.4 and a correction to the Example in Section 4. Minor corrections adde

Poles of Archimedean zeta functions for analytic mappings

In this paper, we give a description of the possible poles of the local zeta function attached to a complex or real analytic mapping in terms of a log-principalization of an ideal associated to the mapping. When the mapping is a non-degenerate one, we give an explicit list for the possible poles of the corresponding local zeta function in terms of the normal vectors to the supporting hyperplanes of a Newton polyhedron attached to the mapping, and some additional vectors (or rays) that appear in the construction of a simplicial conical subdivision of the first orthant. These results extend the corresponding results of Varchenko to the case l\geq1, and K=R or C. In the case l=1 and K=R, Denef and Sargos proved that the candidates poles induced by the extra rays required in the construction of a simplicial conical subdivision can be discarded from the list of candidate poles. We extend the Denef-Sargos result arbitrary l\geq1. This yields in general a much shorter list of candidate poles, that can moreover be read off immediately from the Newton polyhedron

Ese cuerpo que no es uno. La sexualidad femenina en Luce Irigaray

Luce Irigaray denuncia que las sociedades contemporáneas están consolidadas sobre una lógica falogocéntrica cuya consecuencia fundamental es la subordinación estratégica de las mujeres. La representación de lo femenino como carencia, como inconsistente, disperso… no hace sino consolidar la idea de que las mujeres son la imagen complementaria del hombre, reforzando el planteamiento freudiano que asocia el falo con el valor. De la mano de la autora, analizaré de qué modo el deseo es un constructo masculino y masculinista que, para asegurar su superioridad, ha ignorado las posibilidades de goce que el cuerpo de las mujeres ofrece y, asimismo, apostaré por la valía de dicho potencial con vistas que las mujeres puedan construir otras representaciones de sí mismas más favorables que las saquen de esa posición de inferioridad.Luce Irigaray reports on our contemporary societies, which are based in the strategic subordination of women. The representation of “the femenine” as a shortage, weakness, strengthens the argument that women are the complementary image of men, reinforcing Freud’s link between phallus and value.Led by the author, I will analize how desire is a male construction that has ignore the possiblities and opportunities given by the female body in order to ensure their superiority. Moreover, I will stand in favour of women’s potential to build new and more positive images of themselves, which will help them to get over that inferiority

Vinculación de la música al proceso enseñanza-aprendizaje del tiempo

La música resulta muy útil para trabajar la construcción del tiempo percibido y ampliar el concepto de tiempo vivido a lo que ya es externo a las vivencias personales de los niños. Y dentro de la música resulta particularmente importante para la enseñanza - aprendizaje del tiempo uno de sus parámetros: el ritmo. Identificar por ejemplo el ritmo de las estaciones del año, las acciones o hechos que ocurren en los distintos tiempos o situaciones que vivimos a lo largo del día, de la semana, de los meses, de los años, o simplemente identificar los diferentes momentos que pueden acontecer en una hora de clase, mediante la música, es lo que vamos a trabajar con los alumnos de primero de Educación Primaria. Integrar contenidos del área de Música con otros contenidos propios del área de conocimiento del entorno, buscando una mejor adquisición del sentido del tiempo por el alumnado.Grado en Educación Primari