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- W1571070919 abstract "This paper, motivated from complex dynamics and algebraic geometry, studies the moduli space of polynomial maps of $mathbb{C}$, from the viewpoint of their fixed-point eigenvalues. More concretely, it describes in detail the fiber structure of the map $Phi_d$ which corresponds each affine conjugacy class of polinomial maps of degree $d$ to the set of its fixed-point eigenvalues. This map $Phi_d$ is generically finite and has a very beautiful fiber structure. For any set of fixed-point eigenvalues $lambda$, the cardinality of its fiber $Phi_d^{-1}(lambda)$ is exactly computed in finite steps only from the two combinatorial data $I(lambda)$ and $K(lambda)$ that are obtained from $lambda$. The local fiber structure of the map $Phi_d$ is also completely determined by $I(lambda)$ and $K(lambda)$. As a by-product, some problems on combinatorics are provided." @default.
- W1571070919 created "2016-06-24" @default.
- W1571070919 creator A5091757320 @default.
- W1571070919 date "2007-08-19" @default.
- W1571070919 modified "2023-09-27" @default.
- W1571070919 title "The Moduli Space of Polynomial Maps of One Complex Variable" @default.
- W1571070919 cites W1603977374 @default.
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- W1571070919 hasPublicationYear "2007" @default.
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