Back to Search
Start Over
Collapsing Calabi–Yau fibrations and uniform diameter bounds
- Source :
- Geometry & Topology. 27:397-415
- Publication Year :
- 2023
- Publisher :
- Mathematical Sciences Publishers, 2023.
-
Abstract
- As a sequel to \cite{Licollapsing}, we study Calabi-Yau metrics collapsing along a holomorphic fibration over a Riemann surface. Assuming at worst canonical singular fibres, we prove a uniform diameter bound for all fibres in the suitable rescaling. This has consequences on the geometry around the singular fibres.
Details
- ISSN :
- 13640380 and 14653060
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- Geometry & Topology
- Accession number :
- edsair.doi.dedup.....9edb8fd8a235eb1ebb9f4399ed1ea168