Projective moduli space of the Polynomials : Cubic case

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概要

• 論文の詳細を見る

• The space of all cubic polynomials is a smooth complex four-manifold. On the otherhand, the moduli space, consisting of all afline conjugacy classes of the maps, has a muchsimpler structure: the moduli space can be treated as an orbifold whose underlying space isisomorphic to C2. Therefore the moduli space has a natural compactification, isomorphicto the projective plane CP2. But for the polynomials of a higher degree n(Z 4), themoduli space parameterized by multipliers is no longer isomorphic to the space Cn-1 (see[1]). It is interested to note that this parameterized space has a complicated structure withsingular pa.rts, attributed in most cases to the Fatou's index theorem of fixed points.We define a projective moduli space, which corresponds the polynomials of degreen(Z 3) and less, and fully equip this space with multipliers-parameterization.

• 城西大学の論文

著者

• Nishizawa Kiyoko

  Josai University

• Fujimura Masayo

  National Defense Academy

関連論文

• Moduli Space of Polynomial Maps with Degree Four
• Projective moduli space of the Polynomials : Cubic case
• Noda2005論文 Some Dynamical Loci of Quartic Polynomials
• Projective moduli space of the polynomials: cubic case
• Non-monotone Bifurcations Along an Algebraic Curve for Quadratic Rational Families

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