منابع مشابه
Harmonic Metrics and Connections with Irregular Singularities
We identify the holomorphic de Rham complex of the minimal extension of a meromorphic vector bundle with connexion on a compact Riemann surface X with the L 2 complex relative to a suitable metric on the bundle and a complete metric on the punctured Riemann surface. Applying results of C. Simpson, we show the existence of a harmonic metric on this vector bundle, giving the same L complex. As a ...
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Computation of homology generators using an irregular graph pyramid can significantly increase performance compared to the classical methods. First results in 2D exist and show the advantages of the method. The generators are computed in upper levels of pyramid where it is known that the graphs contains a number of self loops and multiple edges product of the contraction processes. Using a stra...
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We introduce a method for computing homology groups and their generators of a 2D image, using a hierarchical structure i.e. irregular graph pyramid. Starting from an image, a hierarchy of the image is built, by two operations that preserve homology of each region. Instead of computing homology generators in the base where the number of entities (cells) is large, we first reduce the number of ce...
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Let f : U → Spec (K) be a smooth open curve over a field K ⊃ k, where k is an algebraically closed field of characteristic 0. Let ∇ : L → L ⊗ Ω1U/k be a (possibly irregular) absolutely integrable connection on a line bundle L. A formula is given for the determinant of de Rham cohomology with its Gauß-Manin connection ( detRf∗(L⊗Ω1U/K), det∇GM ) . The formula is expressed as a norm from the curv...
متن کاملModuli Space of Irregular Singular Parabolic Connections of Generic Ramified Type on a Smooth Projective Curve
We give an algebraic construction of the moduli space of irregular singular connections of generic ramified type on a smooth projective curve. We prove that the moduli space is smooth and give its dimension. Under the assumption that the exponent of ramified type is generic, we give an algebraic symplectic form on the moduli space. Introduction Moduli space of irregular singular connections are...
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2004
ISSN: 1246-7405
DOI: 10.5802/jtnb.450