Explicit canonical heights for divisors relative to endomorphisms of $\mathbb{P}^N$

Patrick Ingram

Explicit canonical heights for divisors relative to endomorphisms of $\mathbb{P}^N$

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arxiv 2207.07206 v1 pith:JXEZOK6A submitted 2022-07-14 math.NT

Patrick Ingram This is my paper · ORCID

classification math.NT

keywords canonicalexplicitheightrelativeboundsdifferencedivisordivisors

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Given an endomorphism f of projective space, we exhibit explicit bounds on the difference between the naive height of a divisor and its canonical height relative to f.

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Heights and morphisms in number fields
math.NT 2024-11 conditional novelty 8.0 of 10

Provides an explicit power-saving asymptotic for counting points by pullback height under morphisms between projective spaces over number fields.

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