2,803 research outputs found
Toric embedded resolutions of quasi-ordinary hypersurface singularities
We build two embedded resolution procedures of a quasi-ordinary singularity
of complex analytic hypersurface, by using toric morphisms which depend only on
the characteristic monomials associated to a quasi-ordinary projection of the
singularity. This result answers an open problem of Lipman in Equisingularity
and simultaneous resolution of singularities, Resolution of Singularities,
Progress in Mathematics No. 181, 2000, 485-503. In the first procedure the
singularity is embedded as hypersurface. In the second procedure, which is
inspired by a work of Goldin and Teissier for plane curves (see Resolving
singularities of plane analytic branches with one toric morphism,loc. cit.,
pages 315-340), we re-embed the singularity in an affine space of bigger
dimension in such a way that one toric morphism provides its embedded
resolution. We compare both procedures and we show that they coincide under
suitable hypothesis.Comment: To apear in Annales de l'Institut Fourier (Grenoble
Bijectiveness of the Nash Map for Quasi-Ordinary Hypersurface Singularities
In this paper we give a positive answer to a question of Nash concerning the
arc space of a singularity, for the class of quasi-ordinary hypersurface
singularities, extending to this case previous results and techniques of
Shihoko Ishii.Comment: comments and references adde
Toric Geometry and the Semple-Nash modification
This 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 particular it contains a combinatorial construction of the blowing up of a
sheaf of monomial ideals on a toric variety. In the second part it is shown
that over an algebraically closed base field of zero characteristic the
Semple-Nash modification of a general toric variety is isomorphic to the
blowing up of the sheaf of logarithmic jacobian ideals and that in any
characteristic this blowing-up is an isomorphism if and only if the toric
variety is non singular. In the second part we prove that orders on the lattice
of monomials (toric valuations) of maximal rank are uniformized by iterated
Sempla-Nash modifications.Comment: New version. Appeared in "Revista de la Real Academia de Ciencias
Exactas, Fisicas y Naturales, Serie A Matematicas", October 2012 (Electronic
Multi-Harnack smoothings of real plane branches
We introduce a new method for the construction of smoothings of a real plane
branch by using Viro Patchworking method. Since real plane branches
are Newton degenerated in general, we cannot apply Viro Patchworking method
directly. Instead we apply the Patchworking method for certain Newton non
degenerate curve singularities with several branches. These singularities
appear as a result of iterating deformations of the strict transforms of the
branch at certain infinitely near points of the toric embedded resolution of
singularities of . We characterize the -smoothings obtained by this
method by the local data. In particular, we analyze the class of multi-Harnack
smoothings, those smoothings arising in a sequence -smoothings of the strict
transforms of (C,0) which are in maximal position with respect to the
coordinate lines. We prove that there is a unique the topological type of
multi-Harnack smoothings, which is determined by the complex equisingularity
type of the branch. This result is a local version of a recent Theorem of
Mikhalkin
Motivic Milnor fiber of a quasi-ordinary hypersurface
Let be a germ of complex analytic function at
such that its zero level defines an irreducible germ of quasi-ordinary
hypersurface . We describe the motivic Igusa zeta function, the motivic
Milnor fibre and the Hodge-Steenbrink spectrum of at 0 in terms of
topological invariants of the quasi-ordinary hypersurface
Decomposition in bunches of the critical locus of a quasi-ordinary map
A polar hypersurface P of a complex analytic hypersurface germ, f=0, can be
investigated by analyzing the invariance of certain Newton polyhedra associated
to the image of P, with respect to suitable coordinates, by certain morphisms
appropriately associated to f. We develop this general principle of Teissier
(see Varietes polaires. I. Invariants polaires des singularites
d'hypersurfaces, Invent. Math. 40 (1977), 3, 267-292) when f=0 is a
quasi-ordinary hypersurface germ and P is the polar hypersurface associated to
any quasi-ordinary projection of f=0. We build a decomposition of P in bunches
of branches which characterizes the embedded topological type of the
irreducible components of f=0. This decomposition is characterized also by some
properties of the strict transform of P by the toric embedded resolution of f=0
given by the second author in a paper which will appear in Annal. Inst. Fourier
(Grenoble). In the plane curve case this result provides a simple algebraic
proof of the main theorem of Le, Michel and Weber in "Sur le comportement des
polaires associees aux germes de courbes planes", Compositio Math, 72, (1989),
1, 87-113
Experiencia docente universitaria mediante el uso de metodologías activas para el aprendizaje como la evaluación formativa compartida y el trabajo de competencias transversales
[EN] This work shows an active methodology for university teaching through
cooperative learning and learning assessment conducted through the
collaborative formative assessment, all mediated by the transversal skills of
teamwork and communicative of public speaking.
The research methodology consisted of comparing the marks obtained in the
same subject prior to implement the cooperative learning and collaborative
formative assessment with the ones obtained after their use. The results show
that the use of tools of cooperative learning and participatory and formative
assessment originate better learning in students in relation to older and more
traditional teaching-learning and assessment methods, also increases their
involvement and learning, taken advantage of those to further enhance their
skills of teamwork and public speaking communication.[ES] Este trabajo muestra una metodología activa para la enseñanza universitaria a través del aprendizaje cooperativo y la evaluación de los aprendizajes realizada a través de la evaluación formativa compartida, todo ello vehiculizado con las competencias transversales de trabajo en equipo y comunicativa de hablar en público.La metodología de investigación ha consistido en comparar las calificaciones obtenidas en la misma asignatura con anterioridad a implementar el aprendizaje cooperativo y la evaluación compartida formativa, con las obtenidas después de utilizarla. Los resultados demuestran que la utilización de herramientas de aprendizaje cooperativo y de evaluación participativa y formativa originan un mejor aprendizaje en el alumnado en relación a metodologías más antiguas y tradicionales de enseñanza-aprendizaje y evaluación, esta nueva metodología aumenta su implicación y aprendizaje, la cual se aprovecha para potenciar asimismo sus competencias de trabajo en equipo y comunicativa de hablar en público.Trigueros Preciados, S.; Perez Gonzalez, D.; Solana González, P.; García Ruiz, E. (2016). Experiencia docente universitaria mediante el uso de metodologías activas para el aprendizaje como la evaluación formativa compartida y el trabajo de competencias transversales. En In-Red 2016. II Congreso nacional de innovación educativa y docencia en red. Editorial Universitat Politècnica de València. https://doi.org/10.4995/INRED2016.2016.4351OC
A case analysis of a product lifecycle information management framework for SMEs.
Information management during the product lifecycle has received a great deal of attention over the last few years, mainly because firms work in a complex business environment characterized by information overload, high levels of competitiveness and the acceleration of technological change. In this context, Product Lifecycle Management(PLM) software has been evolving rapidly and,today, powerfultools in the market enable high levels of information to be managed. However, commercial PLM software is mostly oriented towards large-sized firms, which poses a big challenge for small and mid-sized enterprises (SMEs). To address this issue, SMEs can develop their own Product Lifecycle Information Management (PLIM) Frameworks for managing data and information throughout the product lifecycle processes. This article presents a successful example of a PLIM Framework: the case of Pladomin’s PLIM Framework
- …