OAI/AlgebraicGeometry/SectionFields/AlgebraicDescent.lean

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21 declarations, 0 contain sorry, 0 declared as axioms

Descent of principalizations from algebraic Galois extensions.

  1. def OAI.RelativeDenominators.algebraicScalarExtensionFunctionFieldEquiv line 17
  2. lemma OAI.RelativeDenominators.algebraicScalarExtensionFunctionFieldEquiv_constant line 39
  3. lemma OAI.RelativeDenominators.algebraicScalarExtensionFunctionFieldEquiv_algebraMap line 76
  4. lemma OAI.RelativeDenominators.algebraicScalarExtensionFunctionFieldEquiv_pullback line 107
  5. lemma OAI.RelativeDenominators.algebraicScalarExtensionChart_normal_stalk line 157
  6. theorem OAI.RelativeDenominators.algebraic_galois_baseChange_normal line 176
  7. def OAI.RelativeDenominators.scalarExtensionIntermediateMap line 212
  8. lemma OAI.RelativeDenominators.scalarExtensionIntermediateMap_fst line 223
  9. lemma OAI.RelativeDenominators.scalarExtensionIntermediateMap_snd line 232
  10. lemma OAI.RelativeDenominators.scalarExtensionIntermediateMap_isPullback line 240
  11. instance OAI.RelativeDenominators.scalarExtensionIntermediateMap_flat line 256
  12. instance OAI.RelativeDenominators.scalarExtensionIntermediateMap_surjective line 263
  13. lemma OAI.RelativeDenominators.scalarExtensionIntermediateMap_pullback_constant line 272
  14. lemma OAI.RelativeDenominators.scalarExtensionIntermediateMap_pullback_pullback line 286
  15. lemma OAI.RelativeDenominators.algebraicScalarExtensionFunctionFieldEquiv_intermediate line 302
  16. theorem OAI.RelativeDenominators.rational_function_finiteGalois_field_of_definition line 345
  17. theorem OAI.RelativeDenominators.principalization_descends_from_algebraic_galois_extension line 377
  18. instance OAI.RelativeDenominators.functionFieldSpec_subsingleton line 414
  19. theorem OAI.RelativeDenominators.rationalPrincipalDivisor_inv line 419
  20. theorem OAI.RelativeDenominators.exists_divisible_linear_equivalence_witness line 427
  21. theorem OAI.RelativeDenominators.relative_exact_presentation_of_geometricGenericFiber_principalization line 449