2022arXiv (Cornell University)Open access

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

Patrick Ingram

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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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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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Available 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.

Key concepts: Endomorphism, Mathematics, Divisor (algebraic geometry), Pure mathematics, Projective test, Zero divisor, Space (punctuation), Discrete mathematics

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