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  • A dynamical pairing between two rational maps

    Creator:
    Petsche, Clayton, Szpiro, Lucien, and Tucker, Thomas J.
    Abstract:
    Given two rational maps φ and ψ on Ρ¹ of degree at least two, we study a symmetric, nonnegative real-valued pairing〈φ, ψ〉which is closely related to the canonical height functions hφ and hψ associated to these maps. Our main results show a strong connection between the value of〈φ, ψ〉and the...
    Resource Type:
    Article
    Full Text:
    , AND THOMAS J. TUCKER Abstract. Given two rational maps ϕ and ψ on P1 of degree at least two, we study