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math.AG — Algebraic Geometry

The Hodge Conjecture for CM abelian varieties

Contributed by Pol van Hoften, Jack Sempliner

Following the recent work [Ope26], we give a proof of the Hodge conjecture for CM abelian varieties.

Primarily human-written textHuman understanding: all partsHodge theory

Oct 15, 2026PDF ↗View work →

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Human understanding All parts of this contribution have been checked and understood by a human. Some parts of this contribution, but not all, have been checked and understood by a human. None of this contribution has been checked and understood by any human.

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