RT info:eu-repo/semantics/article
T1 On the image of a curve in a normal surface by a plane projection
A1 Delgado de la Mata, Félix
A1 Maugendre, Hélène
K1 Análisis matemático
K1 14H20
K1 32S05
K1 32S15
K1 32S45
K1 32S55
K1 Tipo topológico
K1 Morfismos analíticos
K1 Curva discriminante
K1 Locus crítico
K1 12 Matemáticas
AB We consider a finite analytic morphism φ = (f, g) defined from a complex analytic normal surface (Z, z) to C2. We describe the topology of the image by φ of a reduced curve on (Z, z) by means of iterated pencils defined recursively for each branch of the curve from the initial one <f, g>. This result generalizes the one obtained in a previous paper for the case in which (Z, z) is smooth and the curve irreducible. The methods we use also permit us to describe the topological type of the discriminant curve of φ, in particular, the topological type of each branch of the discriminant can be obtained from the map without previous knowledge of the critical locus.
PB Springer Nature
SN 1578-7303
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/82582
UL https://uvadoc.uva.es/handle/10324/82582
LA eng
NO Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, enero 2026, vol. 120, n. 2.
NO Producción Científica
DS UVaDOC
RD 19-mar-2026