Výsledky vyhledávání - "Reduction of singularities"

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Idealistic Flowers in the Reduction of Singularities

Autor: Cano, Felipe, Molina-Samper, Beatriz

We present here a proof of the classical reduction of singularities based on the idea of "idealistic flowers". We follow the general ideas of Maximal Contact Theory, presented in a recent book of Aroca, Hironaka and Vicente, that recovers three old p

Externí odkaz: http://arxiv.org/abs/2307.14722

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Stratified Reduction of Singularities of Generalized Analytic Functions

Autor: Molina-Samper, B., Palma-Márquez, J., Sanz-Sánchez, F.

Generalized analytic functions over generalized analytic manifolds are build from sums of convergent real power series with non-negative real exponents (and some well-ordering condition on the support). In a paper by Mart\'in-Villaverde, Rolin and Sa

Externí odkaz: http://arxiv.org/abs/2206.10656

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Reduction of Singularities of Three-Dimensional Line Foliations

Autor: Cano, Felipe, Roche, Claude, Spivakovsky, Mark

We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of Zariski. The reduction of singularities is then ob

Externí odkaz: http://arxiv.org/abs/1009.1348

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Metric dimensional reduction at singularities with implications to Quantum Gravity

Autor: Stoica, Ovidiu Cristinel

Publikováno v: Annals of Physics 347C (2014), pp. 74-91

A series of old and recent theoretical observations suggests that the quantization of gravity would be feasible, and some problems of Quantum Field Theory would go away if, somehow, the spacetime would undergo a dimensional reduction at high energy s

Externí odkaz: http://arxiv.org/abs/1205.2586

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Ramifications, Reduction of Singularities, Separatrices

Autor: Ayuso, Pedro Fortuny

We study the behaviour of sequences of blowing-ups under ramifications, and use the results to give a simple proof of Camacho-Sad's Theorem on the existence of Separatrices for singularities of plane holomorphic foliations. The main result we prove i

Externí odkaz: http://arxiv.org/abs/math/0111244

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