OAI/Analysis/Mahler/MassTarget.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.Mahler.ComplexEuclidean line 12
  2. structure OAI.Mahler.MassHypotheses line 16

    Source documentation

    The hypotheses for the isolated-zero mass inequality. This structure records hypotheses; it does not assert the inequality.

    structure MassHypotheses (n N m : ℕ) (U : Set (ComplexEuclidean n))
        (f : Fin N → ComplexEuclidean n → ℂ)
        (G : Fin N → MvPolynomial (Fin n) ℂ) : Prop where
    …

    Mentions: OAI.Mahler.ComplexEuclidean

  3. def OAI.Mahler.massDensity line 36

    Source documentation

    The density n! det(tau_{z_k bar z_l}) for the complex Hessian convention.

    noncomputable def massDensity {n N : ℕ} (f : Fin N → ComplexEuclidean n → ℂ)
        (z : ComplexEuclidean n) : ℝ :=
    …

    Mentions: OAI.Mahler.ComplexEuclidean

  4. def OAI.Mahler.massIntegral line 43

    Source documentation

    The extended nonnegative integral allows infinite mass. This definition does not assert its equality to an exterior-form integral.

    noncomputable def massIntegral {n N : ℕ} (U : Set (ComplexEuclidean n))
        (f : Fin N → ComplexEuclidean n → ℂ) : ℝ≥0∞ :=
    …

    Mentions: OAI.Mahler.ComplexEuclidean

  5. def OAI.Mahler.MassBoundTarget line 47