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Filtering by: Creator Celia, M. A. Remove constraint Creator: Celia, M. A. Advisor Petsche, Clayton J. Remove constraint Advisor: Petsche, Clayton J. Committee Member Nguyen, Thinh Remove constraint Committee Member: Nguyen, Thinh Degree Field Mathematics Remove constraint Degree Field: Mathematics

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  • An inner product on adelic measures

    Creator:
    Oberly, Peter J.
    Abstract:
    We define an inner product on a vector space of adelic measures over a number field $K$. We find that the norm induced by this inner product governs weak convergence at each place of $K$. The canonical adelic measure associated to a rational map is in this vector space, and...
    Resource Type:
    Dissertation
    Full Text:
    to Theorem 1.2 is that our norm can be used to detect bad reduction of a rational map. We let M∞K