On generalized surfaces in (ℂ3, 0)

Percy Fernández-Sánchez; Jorge Mozo-Fernández

On generalized surfaces in (ℂ3, 0)

Percy Fernández-Sánchez, Jorge Mozo-Fernández

Universidad de Valladolid

Research output: Book/Report › Book › peer-review

8 Scopus citations

Abstract

In this paper we study germs of codimension one holomorphic, nondicritical, singular foliations in (ℂ3, 0) having no saddle-nodes in their reduction of singularities. These are called generalized surfaces. The main result says that the reduction of the singularities of a generalized surface agrees with the reduction if its separatrix set. © Astérisque 323, SMF 2009.

Original language	Spanish
State	Published - 1 Feb 2009

Cite this

@book{c91ba79e38c94c50b350a93d021c88e6,

title = "On generalized surfaces in (ℂ3, 0)",

abstract = "In this paper we study germs of codimension one holomorphic, nondicritical, singular foliations in (ℂ3, 0) having no saddle-nodes in their reduction of singularities. These are called generalized surfaces. The main result says that the reduction of the singularities of a generalized surface agrees with the reduction if its separatrix set. {\textcopyright} Ast{\'e}risque 323, SMF 2009.",

author = "Percy Fern{\'a}ndez-S{\'a}nchez and Jorge Mozo-Fern{\'a}ndez",

year = "2009",

month = feb,

day = "1",

language = "Espa{\~n}ol",

}

TY - BOOK

T1 - On generalized surfaces in (ℂ3, 0)

AU - Fernández-Sánchez, Percy

AU - Mozo-Fernández, Jorge

PY - 2009/2/1

Y1 - 2009/2/1

N2 - In this paper we study germs of codimension one holomorphic, nondicritical, singular foliations in (ℂ3, 0) having no saddle-nodes in their reduction of singularities. These are called generalized surfaces. The main result says that the reduction of the singularities of a generalized surface agrees with the reduction if its separatrix set. © Astérisque 323, SMF 2009.

AB - In this paper we study germs of codimension one holomorphic, nondicritical, singular foliations in (ℂ3, 0) having no saddle-nodes in their reduction of singularities. These are called generalized surfaces. The main result says that the reduction of the singularities of a generalized surface agrees with the reduction if its separatrix set. © Astérisque 323, SMF 2009.

M3 - Libro

BT - On generalized surfaces in (ℂ3, 0)

ER -