RT info:eu-repo/semantics/article
T1 Stratified reduction of singularities of generalized analytic functions
A1 Molina Samper, Beatriz
A1 Palma Márquez, Jesús
A1 Sanz Sánchez, Fernando
K1 Blowing-up morphism · Reduction of singularities · Generalized power series · Principialization of ideals
AB Generalized analytic functions are naturally defined in manifolds with boundary and are builtfrom sums of convergent real power series with non-negative real exponents. In this paper wedeal with the problem of reduction of singularities of these functions.Namely, we prove that agerm of generalized analytic function can be transformed by a finite sequence of blowing-upsinto a function which is locally of monomial type with respect to the coordinates definingthe boundary of the manifold where it is defined.
PB Springer
SN 1578-7303
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/68081
UL https://uvadoc.uva.es/handle/10324/68081
LA eng
NO Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Seria A Matemáticas. RACSAM. Vol. 118, n. 4. p. 1-28
DS UVaDOC
RD 25-jun-2024