On the volume of some Fano K-moduli spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866913225337995264 |
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| author | Tambasco, Salvatore |
| author_facet | Tambasco, Salvatore |
| contents | We compute the CM volume, that is the degree of the descended CM line bundle, of the Fano K-moduli space of Quartic del Pezzo in any dimension, and of the K-moduli space of the log Fano hyperplane arrangements of dimension one and two. Furthermore, we relate these volumes to the Weil-Petersson volumes by extending the notion of Weil-Petersson metric in the log case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_05721 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the volume of some Fano K-moduli spaces Tambasco, Salvatore Algebraic Geometry Differential Geometry Symplectic Geometry We compute the CM volume, that is the degree of the descended CM line bundle, of the Fano K-moduli space of Quartic del Pezzo in any dimension, and of the K-moduli space of the log Fano hyperplane arrangements of dimension one and two. Furthermore, we relate these volumes to the Weil-Petersson volumes by extending the notion of Weil-Petersson metric in the log case. |
| title | On the volume of some Fano K-moduli spaces |
| topic | Algebraic Geometry Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2012.05721 |