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Autor González Pérez, Pedro Daniel |
Documentos disponibles escritos por este autor (23)
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We define Poincaré series associated to a germ (S, 0) of toric or analytically irreducible quasiordinary hypersurface singularity, by a finite sequence of monomial valuations such that at least one of them is centered at the point 0. This involv[...]texto impreso
Nous étudions les polynômes F ? C{S? }[Y ] à coefficients dans l’anneau de germes de fonctions holomorphes au point spécial d’une variété torique affine. Nous généralisons `a ce cas la paramétrisation classique des singularités quasi-ordinaires.[...]texto impreso
An analytically irreducible hypersurface germ (S, 0) ? (Cd+1, 0) is quasi-ordinary if it canbe defined by the vanishing of the minimal polynomial f ? C{X}[Y ] of a fractional power series in the variables X = (X1, . . . , Xd) which has character[...]texto impreso
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A germ of a complex analytic variety is quasi-ordinary if there exists a finite projection to the complex affine space with discriminant locus contained in a normal crossing divisor. Some properties of complex analytic curve singularities genera[...]texto impreso
González Pérez, Pedro Daniel ; Teissier, Bernard | Real Academia Ciencias Exactas Físicas Y Naturales | 2014-10This paper proposes some material towards a theory of general toric varieties without the assumption of normality. Their combinatorial description involves a fan to which is attached a set of semigroups subjected to gluing-up conditions. In part[...]texto impreso
The paper gives a very elementary proof of the well-known result that the projective space P3 is homeomorphic to the special orthogonal Lie group SO(3). The proof uses only linear algebra, elementary topology and elementary affine geometry. One [...]texto impreso
Let f (x, y) be an irreducible formal power series without constant term, over an algebraically closed field of characteristic zero. One may solve the equation f (x, y) = 0 by choosing either x or y as independent variable, getting two finite se[...]