Provides an explicit power-saving asymptotic for counting points by pullback height under morphisms between projective spaces over number fields.
Explicit canonical heights for divisors relative to endomorphisms of $\mathbb{P}^N$
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abstract
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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math.NT 1years
2024 1verdicts
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Heights and morphisms in number fields
Provides an explicit power-saving asymptotic for counting points by pullback height under morphisms between projective spaces over number fields.