10 citations · 16 across the 8 of their papers we have counts for
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math.NT2013★ 1 cited
Endomorphisms of Bounded Height and Resultant
Brian Stout, Adam Towsley
Let K be an algebraic number field. For a degree d rational morphism of projective n-space defined over K let R denote its minimal resultant ideal. For a fixed height function on t…
math.DS2013★ 10 cited
Misiurewicz Points for Polynomial Maps and Transversality
Benjamin Hutz, Adam Towsley
The behavior under iteration of the critical points of polynomial maps plays an essential role in understanding its dynamics. We study the special case where the forward orbits of…
math.NT2013★ 2 cited
Evidence for the Dynamical Brauer-Manin Criterion
Ekaterina Amerik, Par Kurlberg, Khoa Nguyen +3
Let f:X->X be a morphism of a variety over a number field K. We consider local conditions and a "Bruaer-Manin" condition, defined by Hsia and Silverman, for the orbit of a point P…