The Euler-seven weighted trace bound above the elementary range #
This module converts the exact χ≤7 Proposition Two result into its numerical
torsion-intersection estimate when 48 < p.
theorem
BGS.Markoff.weightedTraceTorsionIntersection_card_cast_le_eulerSeven_of_largeChar
{K : Type u_1}
[Field K]
[Fintype K]
[DecidableEq K]
{p : ℕ}
[Fact (Nat.Prime p)]
[CharP K p]
(alpha beta : K)
(hadmissible : WeightedTraceCurveIsCorvajaZannierAdmissible alpha beta)
(m n : ℕ)
(hm : 0 < m)
(hn : 0 < n)
(hmPrime : ¬p ∣ m)
(hnPrime : ¬p ∣ n)
(hlarge : 48 < p)
:
↑(External.torusCurveTorsionIntersection K (weightedTraceTorusClosurePolynomial alpha beta) m n).card ≤ corvajaZannierCorollaryTwoNumericalBound p m n 2 2 7