GRAPHS OF STABLE MAPS FROM CLOSED ORIENTABLE SURFACES TO THE 2-SPHERE

被引：8

作者：

Hacon, D. ^{[1
]}

Mendes De Jesus, C. ^{[2
]}

Romero Fuster, M. C. ^{[3
]}

机构：

[1] Pontificia Univ Catolica Rio de Janeiro, Dep Matemat, BR-22453900 Rio de Janeiro, RJ, Brazil

[2] Univ Fed Vicosa, Dep Matemat, BR-36570000 Vicosa, MG, Brazil

[3] Univ Valencia, Fac Matemat, Dep Geometria & Topol, E-46100 Valencia, Spain

来源：

JOURNAL OF SINGULARITIES | 2010年 / 2卷

关键词：

Stable maps; graphs; branch sets; degree;

D O I：

10.5427/jsing.2010.2e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any bipartite weighted graph can be associated to some stable map from a closed orientable surface to the sphere and obtain necessary and sufficient conditions on a graph to be attached to a fold map of a given degree.

引用

页码：67 / 80

页数：14

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