Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 221-255 |
| Seitenumfang | 35 |
| Fachzeitschrift | Journal fur die Reine und Angewandte Mathematik |
| Jahrgang | 2024 |
| Ausgabenummer | 807 |
| Frühes Online-Datum | 12 Jan. 2024 |
| Publikationsstatus | Veröffentlicht - 1 Feb. 2024 |
Abstract
We prove the real integral Hodge conjecture for several classes of real abelian threefolds. For instance, we prove the property for real abelian threefolds whose real locus is connected, and for real abelian threefolds A which are the product A = B × E of an abelian surface B and an elliptic curve E with connected real locus E (R). Moreover, we show that every real abelian threefold satisfies the real integral Hodge conjecture modulo torsion, and reduce the principally polarized case to the Jacobian case.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Journal fur die Reine und Angewandte Mathematik, Jahrgang 2024, Nr. 807, 01.02.2024, S. 221-255.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On the integral Hodge conjecture for real abelian threefolds
AU - De Gaay Fortman, Olivier
N1 - Funding Information: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754362
PY - 2024/2/1
Y1 - 2024/2/1
N2 - We prove the real integral Hodge conjecture for several classes of real abelian threefolds. For instance, we prove the property for real abelian threefolds whose real locus is connected, and for real abelian threefolds A which are the product A = B × E of an abelian surface B and an elliptic curve E with connected real locus E (R). Moreover, we show that every real abelian threefold satisfies the real integral Hodge conjecture modulo torsion, and reduce the principally polarized case to the Jacobian case.
AB - We prove the real integral Hodge conjecture for several classes of real abelian threefolds. For instance, we prove the property for real abelian threefolds whose real locus is connected, and for real abelian threefolds A which are the product A = B × E of an abelian surface B and an elliptic curve E with connected real locus E (R). Moreover, we show that every real abelian threefold satisfies the real integral Hodge conjecture modulo torsion, and reduce the principally polarized case to the Jacobian case.
UR - http://www.scopus.com/inward/record.url?scp=85182575185&partnerID=8YFLogxK
U2 - 10.1515/crelle-2023-0082
DO - 10.1515/crelle-2023-0082
M3 - Article
AN - SCOPUS:85182575185
VL - 2024
SP - 221
EP - 255
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
SN - 0075-4102
IS - 807
ER -