A compactification of the moduli space of polynomials

Fujimura, Masayo; Taniguchi, Masahiko

doi:10.1090/S0002-9939-08-09344-1

A compactification of the moduli space of polynomials
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by Masayo Fujimura and Masahiko Taniguchi PDF

Proc. Amer. Math. Soc. 136 (2008), 3601-3609 Request permission

Abstract:

In this paper, we introduce a compactification of the moduli space of polynomial maps with a fixed degree $n (\geq 2)$ such that the map from it to $\mathbb {P}^{n-1}(\mathbb {C})$ defined by using the elementary symmetric functions of multipliers at fixed points is a continuous surjection.

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