Geodesic
Collapsing Calabi–Yau fibrations and uniform diameter bounds
Li, Yang1
1 Department of Mathematics, MIT, Cambridge, MA, United States
Geometry & topology, Tome 27 (2023) no. 1, pp. 397-415.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2023.27.397
Keywords: collapsing, Calabi–Yau, fibration, diameter bound

Li, Yang 1

1 Department of Mathematics, MIT, Cambridge, MA, United States 
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Li, Yang. Collapsing Calabi–Yau fibrations and uniform diameter bounds. Geometry & topology, Tome 27 (2023) no. 1, pp. 397-415. doi : 10.2140/gt.2023.27.397. http://geodesic.mathdoc.fr/articles/10.2140/gt.2023.27.397/

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