OAI/Analysis/Mahler/MassTarget.lean
5 declarations, 0 contain sorry, 0 declared as axioms
- abbrev
OAI.Mahler.ComplexEuclideanline 12 - structure
OAI.Mahler.MassHypothesesline 16Source 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
- def
OAI.Mahler.massDensityline 36Source 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
- def
OAI.Mahler.massIntegralline 43Source 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
- def
OAI.Mahler.MassBoundTargetline 47