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Autor Melle Hernández, Alejandro |
Documentos disponibles escritos por este autor (54)
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Artal Bartolo, Enrique ; Cassou-Noguès, Pierrette ; Luengo Velasco, Ignacio ; Melle Hernández, Alejandro | Independent University of Moscow | 2013In this paper we study some properties of the class of nu-quasi-ordinary hypersurface singularities. They are defined by a very mild condition on its (projected) Newton polygon. We associate with them a Newton tree and characterize quasi-ordinar[...]![]()
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Since the implementation of the Montreal Protocol and the Clean Air Act Amendment of 1990, the polyurethane industry has been searching for ways to reduce or eliminate auxiliary blowing agents (ABAs) from foam manufacturing processes. Many possi[...]![]()
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Artal Bartolo, Enrique ; Luengo Velasco, Ignacio ; Melle Hernández, Alejandro | Cambridge University Press | 2006In this survey, we review part of the theory of superisolated surface singularities (SIS) and its applications including some new and recent developments. The class of SIS singularities is, in some sense, the simplest class of germs of normal su[...]![]()
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Artal Bartolo, Enrique ; Cassou-Noguès, Pierrette ; Luengo Velasco, Ignacio ; Melle Hernández, Alejandro | Oxford University Press | 2002-02An example is given which shows that the Denef–Loeser zeta function (usually called the topological zeta function) associated to a germ of a complex hypersurface singularity is not a topological invariant of the singularity. The idea is the foll[...]![]()
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En esta memoria se obtienen formulas que relacionan el numero de milnor de un germen de hipersuperficie compleja con singularidad aislada con la geometria de las hipersuperficies proyectivas definidas por los ceros de los polinomios homogéneos q[...]![]()
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Artal Bartolo, Enrique ; Carmona Ruber, Jorge ; Cogolludo Agustín, José Ignacio ; Escario Gil, Mario ; Fernández de Bobadilla de Olarzábal, Javier José ; Luengo Velasco, Ignacio ; Melle Hernández, Alejandro | Editorial Complutense | 2004We study properties of arrangements of rational plane curves. The existence of such curves with prescribed topological data has a lot of geometric restrictions. We show how to use the theory of singular complex analytic spaces to obtain such res[...]![]()
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Bartolo, E. A. ; Cassou-Nogués, P. ; Luengo, I. ; Melle Hernández, Alejandro | European Mathematical Society | 2017In 1982, Tamaki Yano proposed a conjecture predicting the b-exponents of an irreducible plane curve singularity germ that is generic in its equisingularity class. In this article, we prove the conjecture for the case in which the irreducible ger[...]![]()
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Melle Hernández, Alejandro ; Gusein-Zade, Sabir Medgidovich ; Luengo Velasco, Ignacio | Springer Verlag | 1998-04Let f be a meromorphic function germ on (Cn+1, 0); that is, f = P/Q, where P,Q: (Cn+1, 0)! (C, 0) are holomorphic germs. The authors introduce a notion of Milnor fibers and monodromy operators of the germ f around zero and infinity. Based on the[...]