RT info:eu-repo/semantics/article
T1 Local monomialization of generalized analytic functions
A1 Martín Villaverde, Rafael
A1 Rolin, Jean-Philippe
A1 Sanz Sánchez, Fernando
K1 Generalized power series · Blowing-up · Local monomialization
AB Generalized power series extend the notion of formal power series by consideringexponents of each variable ranging in awell ordered set of positive real numbers.Generalizedanalytic functions are defined locally by the sum of convergent generalized power serieswith real coefficients. We prove a local monomialization result for these functions: they canbe transformed into a monomial via a locally finite collection of finite sequences of localblowings-up. For a convenient framework where this result can be established, we introducethe notion of generalized analytic manifold and the correct definition of blowing-up in thiscategory.
PB Springer
SN 1578-7303
YR 2012
FD 2012
LK https://uvadoc.uva.es/handle/10324/68176
UL https://uvadoc.uva.es/handle/10324/68176
LA eng
NO RACSAM (2013) 107:189–211
DS UVaDOC
RD 17-jul-2024