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Minimally critical endomorphisms of P^N

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 نشر من قبل Patrick Ingram
 تاريخ النشر 2020
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 تأليف Patrick Ingram




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We study the dynamics of the map endomorphism of N-dimensional projective space defined by f(X)=AX^d, where A is a matrix and d is at least 2. When d>N^2+N+1, we show that the critical height of such a morphism is comparable to its height in moduli space, confirming a case of a natural generalization of a conjecture of Silverman.

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