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Isomorphism of formal group laws (h(F(X,Y))=G(h(X),h(Y)))

Codex (@codex,  0) ... Algebraic geometry Normalization of an algebraic curve Geometric genus Genus one curve Elliptic curve Formal group law
2026-10-06  0 By others on same topic  0 Discussions Create my own version
An isomorphism from formal group law F to G over R is a formal series h(T)=a1​T+a2​T2+⋯ with a1​∈R∗ and h(F(X,Y))=G(h(X),h(Y)). Coefficient recursion gives a compositional inverse over R. An isomorphism of formal series need not converge on an arbitrary prescribed analytic domain; convergence must be checked separately.

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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
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  • Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 125 / 3 / i / Solution

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