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cat _posts/2026-09-30-curve-symmetry-lean-is-public-the-note-and-its-lean-port.md

curve-symmetry-lean is public: the note and its Lean port

curve-symmetry-lean went public on 30 September: the note Sharp symmetry bounds for real algebraic curves, as PDF and TeX, together with the Lean 4 port that checks every theorem, lemma and remark of it — 108 modules and about 900 theorems and lemmas, using only propext, Classical.choice and Quot.sound, with no sorry and no native_decide (f0b97b7). COVERAGE.md maps each claim to its declarations and to the reading it is checked at: for d >= 5 the note classifies the curves attaining the maximum max(d, 2d-4) rotations as Re(z^(d-2)(|z|^2 + a)) = 0 up to similarity, with their exact ambient Möbius groups, and the port reaches the genus from an explicit basis of holomorphic differentials rather than Riemann–Hurwitz. Theorem 1 alone is also published in sharp-symmetry-bounds-lean and registered with Palomar as PALOMAR-2026-09-18-000007. The last sprints before publication put the machine-checked halves into the prose — an Appendix A to the note saying where each statement is checked, by what, and who checked it — and added negative controls that make three mutated copies of the registry entry fail their own pre-checks for the intended reason. An e-mail to Alcázar, Lávička and Vršek went out on 30 September reporting that the note’s irreducible quintic is a counterexample to Lemma 9 of their arXiv:1801.09962v1; no novelty is claimed anywhere, and CHECKS.md records exactly what has and has not been checked.