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Mostrando ítems 91-100 de 109
Artículo
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Monomial discrete valuations in k[[X]]
(Cornell University, 2003-07-17)
Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the ...
Artículo
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On the logarithmic comparison theorem for integrable logarithmic connections
(London Mathematical Society, 2009)
Let X be a complex analytic manifold, D ⊂ X a free divisor with jacobian ideal of linear type (e.g. a locally quasi-homogeneous free divisor), j : U = X − D ֒→ X the corresponding open inclusion, E an integrable logarithmic ...
Artículo
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A computational approach to the D-module of meromorphic functions
(2001)
Let D be a divisor in Cn. We present methods to compare the D-module of the meromorphic functions O[∗D] to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.
Artículo
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Hasse-Schmidt derivations, divided powers and differential smoothness
(Association des Annales de l'Institut Fourier, 2009)
Let k be a commutative ring, A a commutative k-algebra and D the filtered ring of k-linear differential operators of A. We prove that: (1) The graded ring gr D admits a canonical embedding θ into the graded dual of the ...
Capítulo de Libro
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La Geometría Algebraica: punto de encuentro de las Matemáticas
(Real Academia Sevillana de Ciencias, 2005)
Artículo
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Pilar Pisón Casares, in memoriam
(Real Sociedad Matematica Española, 2007)
Estamos habituados a describir objetos matemáticos, a elaborar teorías, conjeturar resultados, demostrar asertos o refutar hipótesis, pero no a escribir de una persona, más aún si con ella tenemos vínculos afectivos que ...
Tesis Doctoral
Artículo
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Specializations of MacMahon symmetric functions and the polynomial algebra
(Elsevier, 2002-03-06)
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. We use a combinatorial construction of the different bases of the ...
Artículo
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Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
(Association des Annales de l'Institut Fourier, 2005)
Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be seen as locally free {\cal O}_X-modules endowed with a (left) module structure over the ring of logarithmic ...
Artículo
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Conservation of the noetherianity by perfect transcendental field extensions
(European Mathematical Society, 2003)
Let k be a perfect field of characteristic p>0, k(t)per the perfect closure of k(t) and A a k-algebra. We characterize whether the ring A⊗kk(t)per is noetherian when A is the ring of formal power series in n indeterminates over k.