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Fecho integral de módulos, multiplicidades e poliedros de Newton
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2022-08-03)
In this work, we study the integral closure of ideals, Newton polyhedra and Newton non-degenerate ideals. Moreover, we present generalizations of these concepts for modules then, we study the characterization of Newton ...
Polynomial maps with maximal multiplicity and the special closure
(Springer Nature, 2018-06-12)
In this article we characterize the polynomial maps F:Cn→Cn for which F−1(0) is finite and their multiplicity μ(F) is equal to n!Vn(Γ˜+(F)) , where Γ˜+(F) is the global Newton polyhedron of F. As an application, ...
Polynomial maps with maximal multiplicity and the special closure
(Springer Nature, 2018-06-12)
In this article we characterize the polynomial maps F:Cn→Cn for which F−1(0) is finite and their multiplicity μ(F) is equal to n!Vn(Γ˜+(F)) , where Γ˜+(F) is the global Newton polyhedron of F. As an application, ...
Polynomial maps with maximal multiplicity and the special closure
(Springer Nature, 2018-06-12)
In this article we characterize the polynomial maps F:Cn→Cn for which F−1(0) is finite and their multiplicity μ(F) is equal to n!Vn(Γ˜+(F)) , where Γ˜+(F) is the global Newton polyhedron of F. As an application, ...
Bi-Lipschitz A-triviality of map germs and Newton filtrations
(Elsevier B.V., 2012-02-01)
This article is devoted to criteria of Lipschitz equisingularity for families of real analytic map germs from (R-n. 0) to (R-p.0) with n >= p like g(lambda)(x) = g(x) + lambda h(x), where lambda is a small real number. The ...
Bi-Lipschitz G-triviality and Newton polyhedra, G = R, C, K, R-V, C-V, K-V
(Amer Mathematical Soc, 2012-01-01)
In this work we provide estimates for the bi-Lipschitz G-triviality, G = C or K, for a family of map germs satisfying a Lojasiewicz condition. We work with two cases: the class of weighted homogeneous map germs and the ...
Desigualdad de Lojasiewicz y estimación del exponente de Lojasiewicz vía poliedros de Newton
(2018-12-04)
En este trabajo estudiamos las pruebas de la desigualdad de Lojasiewicz desde la geometría algebraica real, y además la estimación del exponente de Lojasiewicz usando las herramientas del poliedro de Newton.
Bi-Lipschitz A-triviality of map germs and Newton filtrations
(Elsevier B.V., 2014)
Bi-Lipschitz G-triviality and Newton polyhedra, G = R, C, K, R-V, C-V, K-V
(Amer Mathematical Soc, 2014)