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URN to cite this document: urn:nbn:de:bvb:703-epub-8923-4
Title data
Naumann, Philipp ; Wu, Xiaojun:
Albanese map for Kähler manifolds with nef anticanonical bundle.
In: Mathematische Zeitschrift.
Vol. 311
(2025)
.
- 25.
ISSN 1432-1823
DOI der Verlagsversion: https://doi.org/10.1007/s00209-025-03810-x
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Project information
| Project title: |
Project's official title Project's id Singuläre hermitianische Metriken für Vektorbündel und Erweiterung kanonischer Abschnitte 456461425 Open Access Publizieren No information |
|---|---|
| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract
We study the structure of the Albanese map for Kähler manifolds with nef anticanonical bundle. First, we give a result for fourfolds whose Albanese torus is an elliptic curve. In the general case, for manifolds of arbitrary dimension, we consider two cases: the general fiber of the Albanese map is either a Calabi-Yau manifold or a projective space. In the first case, we show that the manifold itself must be Calabi-Yau. In the second case, we provide a more topological proof of a result by Cao and Höring, which states that the manifold must be the projectivization of a numerically flat vector bundle.
Further data
| Item Type: | Article in a journal |
|---|---|
| DDC Subjects: | 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics VIII - Complex Analysis and Differential Geometry Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-8923-4 |
| Date Deposited: | 24 Feb 2026 15:42 |
| Last Modified: | 24 Feb 2026 15:43 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/8923 |
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