PreprintCC BY 4.0arXiv
A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type
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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BibTeX
@misc{hormann2026holomorphic,
title = {{A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type}},
author = {Fritz Hörmann},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00269},
eprint = {2609.00269},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00269},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type
AU - Fritz Hörmann
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.00269
UR - https://arxiv.org/abs/2609.00269
AB - 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).
ER -