(of a riemann surface)

  • 101Séminaire Nicolas Bourbaki (1950–1959) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series *33 Armand Borel, Sous groupes compacts maximaux des groupes de Lie, d après Cartan, Iwasawa et Mostow (maximal compact subgroups) *34 Henri Cartan, Espaces… …

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  • 102Vector bundles on algebraic curves — In mathematics, vector bundles on algebraic curves may be studied as holomorphic vector bundles on compact Riemann surfaces. which is the classical approach, or as locally free sheaves on algebraic curves C in a more general, algebraic setting… …

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  • 103Italian school of algebraic geometry — In relation with the history of mathematics, the Italian school of algebraic geometry refers to the work over half a century or more (flourishing roughly 1885 1935) done internationally in birational geometry, particularly on algebraic surfaces.… …

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  • 104Anosov diffeomorphism — In mathematics, more particularly in the fields of dynamical systems and geometric topology, an Anosov map on a manifold M is a certain type of mapping, from M to itself, with rather clearly marked local directions of expansion and contraction .… …

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  • 105Quadratic differential — In mathematics, a quadratic differential is a form on a Riemann surface that locally looks like the square of an abelian differential. It has (at least) two other interpretations that are useful in the study of Riemann surfaces: * a flat… …

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  • 106Belyi's theorem — In mathematics, Belyi s theorem on algebraic curves states that any non singular algebraic curve C , defined by algebraic number coefficients, represents a compact Riemann surface which is a ramified covering of the Riemann sphere, ramified at… …

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  • 107Multivalued function — This diagram does not represent a true function, because the element 3 in X is associated with two elements, b and c, in Y. In mathematics, a multivalued function (shortly: multifunction, other names: set valued function, set valued map, multi… …

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  • 108Projective line — In mathematics, a projective line is a one dimensional projective space. The projective line over a field K , denoted P1( K ), may be defined as the set of one dimensional subspaces of the two dimensional vector space K 2 (it does carry other… …

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  • 109Hilbert–Pólya conjecture — In mathematics, the Hilbert–Pólya conjecture is a possible approach to the Riemann hypothesis, by means of spectral theory.Initial hunchesDavid Hilbert and George Pólya speculated that real number values of t such that : frac12 + it is a zero of… …

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  • 110Variedad (matemática) — En una esfera, la suma de los ángulos de un triángulo no es igual a 180°, pues una esfera no es un espacio euclídeo. Sin embargo, localmente, las leyes de la geometría euclídea son buenas aproximaciones. Este ejemplo ilustra cómo la esfera puede… …

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