Remarks on the collapsing of torus fibered Calabi–Yau manifolds
By H. Hein, Valentino Tosatti. 2014
53 citations recorded by the source corpus.
One of the main results of a recent paper by Gross–Tosatti–Zhang establishes estimates on the collapsing of Ricci‐flat Kähler metrics on holomorphic torus fibrations. We remove a projectivity assumption from these estimates and simplify some of the underlying analysis.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/32a97ebbd7afeb09c08b133af0fef185bc415efa
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In Applied Mathematics
- Xiaokui Yang
- Valentino Tosatti
- B. Weinkove
- G'abor Sz'ekelyhidi
- Duong H. Phong
- Fang Zheng
- Dat T. To
- M. Gill
In Geometry and Topology
- Xiaokui Yang
- Valentino Tosatti
- B. Weinkove
- G'abor Sz'ekelyhidi
- Duong H. Phong
- Fang Zheng
- Dat T. To
- M. Gill
Citations in the corpus
- The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits (2014, background): “Note that in [18, 19, 22, 54] the class αt was replaced by [χ]+ t[ωX ],0< t 1.”
- KAWA lecture notes on the Kähler-Ricci flow (2015, background): “11) holds in the C∞ loc(X\S) topology thanks to [22, 28, 31, 38, 82], and this is expected to hold in general.”