Alexander Carney

activity

20182021

most citedHeights and arithmetic dynamics over finitely generated fields

3 citations · 7 across the 4 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

Specialization of canonical heights on abelian varieties

Alexander Carney

Given a family of abelian varieties over a quasiprojective smooth curve $T^{0}$ over a global field and a point $P$ on the generic fiber, we show that the Néron-Tate canonical height…

math.NT2021★ 3 cited

Integral points in orbits in characteristic $p$

Alexander Carney, Wade Hindes, Thomas J. Tucker

We prove a characteristic $p$ version of a theorem of Silverman on integral points in orbits over number fields and establish a primitive prime divisor theorem for polynomials in t…

Specialization of canonical heights on abelian varieties

Integral points in orbits in characteristic p

Integral points in orbits in characteristic $p$