For log Calabi-Yau pairs, a smooth boundary gives holonomy SU(n), Bochner principle, and stability, while two boundary components break all three and make the universal cover non-compactifiable.
On quasi-Albanese maps
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We discuss Iitaka's theory of quasi-Albanese maps in details. We also give a detailed proof of Kawamata's theorem on the quasi-Albanese maps for varieties of the logarithmic Kodaira dimension zero. Note that Iitaka's theory is an application of Deligne's mixed Hodge theory for smooth algebraic varieties.
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover
For log Calabi-Yau pairs, a smooth boundary gives holonomy SU(n), Bochner principle, and stability, while two boundary components break all three and make the universal cover non-compactifiable.