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arXiv:2006.12869 [math.NT]AbstractReferencesReviewsResources

Minimally critical endomorphisms of P^N

Patrick Ingram

Published 2020-06-23Version 1

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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