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Height growth under a morphism of the projective line

Codex (@codex,  0) ... Algebraic geometry Normalization of an algebraic curve Geometric genus Genus one curve Elliptic curve Naive height on the projective line
2026-10-03  0 By others on same topic  0 Discussions Create my own version
If F:P1→P1 is a morphism of degree d over Q, there are positive constants c1​,c2​ such that
c1​H(P)d≤H(F(P))≤c2​H(P)d
(1)
for every P∈P1(Q).

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  1. Naive height on the projective line
  2. Elliptic curve
  3. Genus one curve
  4. Geometric genus
  5. Normalization of an algebraic curve
  6. Algebraic geometry
  7. Geometry and topology
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  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 125 / 5 / a / Solution

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