Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909617909399552 |
|---|---|
| author | Székelyhidi, Gábor |
| author_facet | Székelyhidi, Gábor |
| contents | We study Calabi-Yau metrics on a projective manifold in Kähler classes converging to a semiample class given by a fibration. We show that the Gromov-Hausdorff limit of the metrics is homeomorphic to the base of the fibration and in addition the discriminant locus has Hausdorff codimension at least 2. This resolves conjectures of Tosatti. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations Székelyhidi, Gábor Differential Geometry 32Q25, 53C25 We study Calabi-Yau metrics on a projective manifold in Kähler classes converging to a semiample class given by a fibration. We show that the Gromov-Hausdorff limit of the metrics is homeomorphic to the base of the fibration and in addition the discriminant locus has Hausdorff codimension at least 2. This resolves conjectures of Tosatti. |
| title | Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations |
| topic | Differential Geometry 32Q25, 53C25 |
| url | https://arxiv.org/abs/2505.14939 |