Valuative invariants for linearized line bundles on a spherical variety
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908606056628224 |
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| author | Yin, Chenxi |
| author_facet | Yin, Chenxi |
| contents | We give formulas for various valuative invariants of linearized ample line bundles on a projective spherical variety. Then we show how to use these formulas to study $g$-solitons on a Fano spherical variety. As a corollary, we show that for a Fano horospherical manifold $X$, the corresponding cone $(K_{X})^{\times}$ always admits a Calabi-Yau cone metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Valuative invariants for linearized line bundles on a spherical variety Yin, Chenxi Algebraic Geometry Differential Geometry We give formulas for various valuative invariants of linearized ample line bundles on a projective spherical variety. Then we show how to use these formulas to study $g$-solitons on a Fano spherical variety. As a corollary, we show that for a Fano horospherical manifold $X$, the corresponding cone $(K_{X})^{\times}$ always admits a Calabi-Yau cone metric. |
| title | Valuative invariants for linearized line bundles on a spherical variety |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2402.00269 |