A machine-checked solution to the Jacobians challenge

30. abel theorem🔗

Abel's theorem (Forster 20.7, dissection-free): the two-point Abel–Jacobi value is nonzero for distinct points on genus ≥ 1, hence ofCurve is injective.

10 modules, 3,106 lines, under Jacobians/Abel/.

  1. 30.1. Keystones
  2. 30.2. Builds on
  3. 30.3. Abel
  4. 30.4. Abel.AbelDbarKill
  5. 30.5. Abel.AbelEngineMeromorphic
  6. 30.6. Abel.AbelEngineSigma
  7. 30.7. Abel.AbelFinal
  8. 30.8. Abel.AbelFormRead
  9. 30.9. Abel.AbelLogDbar
  10. 30.10. Abel.AbelPairing
  11. 30.11. Abel.AbelPairingPositivity
  12. 30.12. Abel.AbelPairingStokes