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.