Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 016-02. The E×CM component of Zilber–Pink for curves in A2
Manuscript map · lines 2815–2824
OpenAI@2026-10-07#rem:oai-p-016-02
Authors: OpenAI. Family 016.
Title: The E×CM component of Zilber–Pink for curves in A2.
Abstract: We prove the $E{}times{}mathrm{CM}$ component of Zilber–Pink for Hodge-generic algebraic curves in ${}mathcal A_2$ over ${}overline{{}mathbb Q}$. Each such curve contains only finitely many points whose abelian surface is isogenous to a product of elliptic curves with at least one factor having complex multiplication.
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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