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

Year: 2026

Type: preprint

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).

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.00269

Author: Hörmann, Fritz

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7206206451

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