Local Monomialization of Analytic Maps

2015/04/06 by Cutkosky, Steven Dale
#14B25 #14E05 #32B10 #32H02 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.01299

Abstract

In this paper, local monomialization theorems are proven for analytic morphisms of complex and real analytic spaces. This gives the generalization of the local monomialization theorem for morphisms of algebraic varieties over a field of characteristic zero proven in the author's earlier papers "Local monomialization of morphisms", Asterisque 260 (1999) and "Local monomialization of transcendental extensions", Annales de l'institut Fourier, 1517 - 1586.

Related

• A Stronger Local Monomialization Theorem
• Local monomialization of transcendental extensions
• Rectilinearization of sub analytic sets as a consequence of local monomialization
• Local factorization and monomialization of morphisms
• Monomialization of a quasianalytic morphism