451 research outputs found

    Some Remarks on the Uniformizing Function in Genus 2

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    This article describes a practical procedure to compute, for any Fuchsian group of genus 2 acting on the unit disc, a uniformizing function for the corresponding algebraic curv

    Hyperbolic Hexagons and Algebraic Curves in Genus 3

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    One of the consequences of the uniformization theorem of Koebe and Poincaré is that any smooth complex algebraic curve C of genus g > 1 is conformally equivalent to H/G, where G ⊂ PSL2(R) is a Fuchsian group and is naturally endowed with a hyperbolic metric. Conversely, any compact hyperbolic surface is isomorphic to an algebraic curve. Hence any curve of genus g > 1 may be described in two ways, either by an equation or by a Fuchsian grou

    The Intertwining of Laïcité and Ethnicity: Observations from Teachers’ Practices in State Schools in Provence

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    In an approach which complements studies of youth experience, we analyze ethnicity by focusing on situations and actions through which teachers, managers and experts deal with diversity. As it considers discursive categories and institutional constraints, this approach underlines the role of informality and ordinary practices that present ethnicity as occupying a minority status in schools. In this article, we study references to ethnicity in the implementation of a national teacher-training policy in relation to laïcité, the system of secularism particular to France. This qualitative study took place in a local education authority in Provence. It shows that the truth regime of laïcité generates contradictory, potentially conflictual advice and instructions vis-à-vis ethnicity, according to social position and professional ethics. To the extent that ethnicity can be an unexpected dimension of the implementation of this policy, it illustrates the relevance of analyzing local practices and reflexivity in the management of diversity in schools

    Mais qu’estce que l’Ordre Symbolique (Lacan)?

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    Je sais, Lacan n’est pas facile à lire. Même si certains de ses “séminaires” sont restés tout à fait lisibles, nous ne sommes pas toujours certains que nous comprenons ce qui y était dit. En tout cas en ce qui me concerne. Il est donc plus sage de maintenir qu’il s’agit d’un auteur difficile

    Sur la lettre ou ses traces dans la parole

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    Nous savons déjà que “mon” discours me révèle sujet d’un désir inconscient, et même si c’est pour nous une platitude elle demeure vraie. La lettre, ce pourrait être ce qui pointe le “sujet” – inconscient comme chacun sait depuis Freud – à condition que l’on sache la lire, je veux dire l’analyser. L’analyser, car cette lettre n’a pas qu’un sens. Bref, ce serait la pointe d’aboutissement de la métaphore, que la psychanalyse aujourd’hui sait interpréter

    Some remarks on the uniformizing function in genus 2

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    The authors propose a numerical method for the uniformization of Riemann surfaces and algebraic curves in genus two with highly accurate results. Let GG be a Fuchsian group acting on the unit disk BbbDBbb D, and let S=BbbD/GS = Bbb D / G. It is well known that SS is also in natural way an algebraic curve. The authors describe a practical way to compute, in genus 2, the uniformizing function from the unit disk to an algebraic curve. The basic idea underlying the method is to reduce the problem to the known case of genus 1. Moreover, they produce an algorithm to compute an approximation of uniformizing functions (the algorithm code and results of computations can be found at the second named author's homepage
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