Projective moduli space for the polynomials

被引：0

作者：

Fujimura, Masayo ^{[1
]}

机构：

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

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2006年 / 13卷 / 06期

关键词：

complex dynamical systems; polynomials; moduli space; projective space and algebraic curve;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The projective moduli space is defined as the space of all collections of conjugacy classes of polynomial maps that the sum of their degrees equals to n or less. In this paper, we define a map from the projective moduli space to CPn-1 via the elementary symmetric functions of the multipliers at the fixed points. For the case of degree 4, we give the transformation formula, and show that quartic polynomials degenerate into quadratic polynomials on the set called exceptional set.

引用

页码：787 / 801

页数：15

共 50 条

[31] The second cohomology with symplectic coefficients of the moduli space of smooth projective curves
Kabanov, AI
COMPOSITIO MATHEMATICA, 1998, 110 (02) : 163 - 186
[32] PROJECTIVE MAPPING OF MODULI
MACHALA, F
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1974, 24 (01) : 26 - 39
[33] Some characterizations of the complex projective space via Ehrhart polynomials
Loi, Andrea
Zuddas, Fabio
INTERNATIONAL JOURNAL OF MATHEMATICS, 2024, 35 (02)
[34] Projective polynomials
Abhyankar, SS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (06) : 1643 - 1650
[35] Two Series of Components of the Moduli Space of Semistable Reflexive Rank 2 Sheaves on the Projective Space
A. A. Kytmanov
N. N. Osipov
S. A. Tikhomirov
Siberian Mathematical Journal, 2024, 65 : 96 - 105
[36] On the Number of Irreducible Components of the Moduli Space of Semistable Reflexive Rank 2 Sheaves on the Projective Space
Kytmanov, A. A.
Osipov, N. N.
Tikhomirov, S. A.
SIBERIAN MATHEMATICAL JOURNAL, 2023, 64 (01) : 103 - 110
[37] On the Number of Irreducible Components of the Moduli Space of Semistable Reflexive Rank 2 Sheaves on the Projective Space
A. A. Kytmanov
N. N. Osipov
S. A. Tikhomirov
Siberian Mathematical Journal, 2023, 64 : 103 - 110
[38] Two Series of Components of the Moduli Space of Semistable Reflexive Rank 2 Sheaves on the Projective Space
Kytmanov, A. A.
Osipov, N. N.
Tikhomirov, S. A.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (01) : 96 - 105
[39] PROJECTIVE NORMALITY OF THE MODULI SPACE OF RANK 2 VECTOR BUNDLES ON A GENERIC CURVE
Abe, Takeshi
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (01) : 477 - 490
[40] Matrix valued orthogonal polynomials arising from the complex projective space
Pacharoni, I.
Tirao, J.
CONSTRUCTIVE APPROXIMATION, 2007, 25 (02) : 177 - 192

← 1 2 3 4 5 →