STRATIFICATION AND COORDINATE SYSTEMS FOR THE MODULI SPACE OF RATIONAL FUNCTIONS

被引：0

作者：

Fujimura, Masayo ^{[1
]}

Taniguchi, Masahiko ^{[2
]}

机构：

[1] Natl Def Acad, Dept Math, Yokosuka, Kanagawa 2398686, Japan

[2] Nara Womens Univ, Dept Math, Nara 6308506, Japan

来源：

CONFORMAL GEOMETRY AND DYNAMICS | 2010年 / 14卷

关键词：

D O I：

10.1090/S1088-4173-10-00207-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we give a new simple system of global parameters on the moduli space of rational functions, and clarify the relation to the parameters indicating location of fixed points and the indices at them. As a byproduct, we solve a conjecture of Milnor affirmatively.

引用

页码：141 / 153

页数：13

共 50 条

[21] Simplicial Equations for the Moduli Space of Stable Rational Curves
Maya J.
Mostovoy J.
[J]. Arnold Mathematical Journal, 2019, 5 (2-3) : 187 - 196
[22] The Moduli Space of Rational Maps and Surjectivity of Multiplier Representation
Masayo Fujimura
[J]. Computational Methods and Function Theory, 2007, 7 (2) : 345 - 360
[23] Topological aspects of the dynamical moduli space of rational maps
Bergeron, Maxime
Filom, Khashayar
Nariman, Sam
[J]. ADVANCES IN MATHEMATICS, 2022, 397
[24] Computing dynamical degrees of rational maps on moduli space
Koch, Sarah
Roeder, Roland K. W.
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2016, 36 : 2538 - 2579
[25] A map on the space of rational functions
Boros, C
Little, J
Moll, V
Mosteig, E
Stanley, R
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (06) : 1861 - 1880
[26] A stratification of the moduli space of pointed non-singular curves
Francisco L. R. Pimentel
Gilvan Oliveira
[J]. Geometriae Dedicata, 2018, 194 : 29 - 36
[27] A stratification of the moduli space of pointed non-singular curves
Pimentel, Francisco L. R.
Oliveira, Gilvan
[J]. GEOMETRIAE DEDICATA, 2018, 194 (01) : 29 - 36
[28] The a-number stratification on the moduli space of supersingular abelian varieties
Harashita, S
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2004, 193 (1-3) : 163 - 191
[29] THE MODULI OF RATIONAL WEIERSTRASS FIBRATIONS OVER P1 - ISOTROPY STRATIFICATION
LEJARRAGA, P
[J]. COMMUNICATIONS IN ALGEBRA, 1992, 20 (06) : 1557 - 1590
[30] Theta functions on the moduli space of parabolic bundles
Gavioli, F
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2004, 15 (03) : 259 - 287

← 1 2 3 4 5 →