Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 016-03. Quaternionic division points on curves in the Siegel threefold
Manuscript map · lines 2825–2834
OpenAI@2026-10-07#rem:oai-p-016-03
Authors: OpenAI. Family 016.
Title: Quaternionic division points on curves in the Siegel threefold.
Abstract: We prove the quaternionic-division component of Zilber–Pink for curves in ${}mathcal A_2$ over ${}overline{{}mathbb Q}$. A Hodge-generic algebraic curve contains only finitely many points whose full geometric rational endomorphism algebra is an indefinite quaternion division algebra over ℚ. No boundary or reduction hypothesis is required.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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