RT info:eu-repo/semantics/article
T1 Stratified reduction of singularities of generalized analytic functions
A1 Molina Samper, Beatriz
A1 Palma Márquez, j.
A1 Sanz Sánchez, Fernando
K1 Blowing-up morphism
K1 Reduction of singularities
K1 Generalized power series
K1 Principialization of ideals
K1 12 Matemáticas
AB Generalized analytic functions are naturally defined in manifolds with boundary and are built from sums of convergent real power series with non-negative real exponents. In this paper we deal with the problem of reduction of singularities of these functions. Namely, we prove that a germ of generalized analytic function can be transformed by a finite sequence of blowing-ups into a function which is locally of monomial type with respect to the coordinates defining the boundary of the manifold where it is defined.
PB Springer
SN 1578-7303
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/62360
UL https://uvadoc.uva.es/handle/10324/62360
LA eng
NO Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, vol. 118, n. 1.
NO Producción Científica
DS UVaDOC
RD 17-may-2024