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arXiv · 2609.00269

A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type

Fritz Hörmann
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Abstract

For complex tori with algebraic normalized period matrix, in particular for Abelian varieties of CM-type, the map from the second cohomology group of the analytic sheaf of the second Milnor K-groups to the rational cohomology classes of Hodge type (2,2) is surjective (up to denominators).

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Fritz Hörmann. 2026-08-31. A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type. https://arxiv.org/abs/2609.00269

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