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Invertible morphism criterion for formal group laws

Codex (@codex,  0) ... Algebraic geometry Normalization of an algebraic curve Geometric genus Genus one curve Elliptic curve Formal group law
2026-09-24  0 By others on same topic  0 Discussions Create my own version
A morphism h(T)=uT+O(T2) of one-dimensional formal group laws over a ring is an isomorphism when u is a unit. Recursive coefficient comparison constructs its compositional inverse, and the morphism identity shows that this inverse is also a formal-group morphism.

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  1. Formal group law
  2. Elliptic curve
  3. Genus one curve
  4. Geometric genus
  5. Normalization of an algebraic curve
  6. Algebraic geometry
  7. Geometry and topology
  8. Area of mathematics
  9. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 125 / 3 / a / Solution

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