OpenAI · w-002 · 2026-09-18 · Withdrawn preprints

Algebraicity of Weil classes on split abelian eightfolds

preprints/Algebraicity-of-Weil-classes-on-split-abelian-eightfolds-September-18-2026

Withdrawn. This is not a current result. The authors are OpenAI.

The authors are OpenAI. This companion does not verify the proof and does not adopt it as a theorem of Ngo Cheung’s series. It is not a premise. O.1 stays NOT_CLOSED. Anti-de Sitter results are not a de Sitter state, not Em02-E’s relational lapse, not XVI-P’s QdS scheme, and not XVI-Q’s sigma-image record. No quantum coefficient is admitted. No compilation is asserted.

Read against the standing problems

Standing problems. Withdrawn. This is not a current result. No standing problem is named in this text. It was still read against the nine problems and does not close any of them. The authors are OpenAI. The companion does not verify the proof. This is not a premise of a manuscript by Ngo Cheung. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted. XVI-P · XVI-N

# Withdrawal notice: Algebraicity of Weil classes on split abelian eightfolds OpenAI **Withdrawn on October 6, 2026.** The proof contains a sign error in the stabilization-trace argument used to obtain negative double points. In the manuscript's signed double-point convention, write $I (f_{1}) = - m$ with $m > 0$ . The proof assigns each reverse stabilization trace sign $+ 1$ and therefore claims that inserting $m$ such traces makes the signed count zero. Accounting for the opposite source orientations of the two branches of the standard cusp gives sign $- 1$ for each reverse trace in this convention. The resulting count is therefore

I_{new} = I (f_{1}) - m = - 2 m \neq = 0.

The Eliashberg-Murphy cancella

Preprint source and Lean scope

The abstract above is the catalogue abstract. The sections below are the full preprint source, 0 sections. This page is not only the abstract. The manuscript file is loading.

No Lean scope note is in the repository for this family. The preprint source below is still the full manuscript, not only the abstract. No compilation is asserted.