OAI/AlgebraicGeometry/StableCoordinate/ZeroFiberTransport.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

Transporting the zero-fiber calculation through a polynomial presentation

The hypothesis of the helper below is a proved algebra equivalence to be supplied by the matrix-change construction. It does not assert or assume any of the requested headline claims.

  1. def OAI.StableCoordinate.ZeroFiber.zeroFiberEquivOfPresentation line 21

    Source documentation

    Transport the already calculated zero fiber through a polynomial presentation that takes the distinguished parameter to the exact polynomial. This helper is instantiated by the explicit presentation construction.

    def zeroFiberEquivOfPresentation
        (e : Hypersurface ℂ ≃ₐ[ℂ] R 4)
        (he : e (hypersurfaceMk ℂ (X 0)) = f) : FiberRing 0 ≃ₐ[ℂ] R 3 :=
    …

    Mentions: OAI.StableCoordinate.ZeroFiber.Hypersurface, OAI.StableCoordinate.R, OAI.StableCoordinate.ZeroFiber.hypersurfaceMk, OAI.StableCoordinate.f, OAI.StableCoordinate.FiberRing