On K-moduli of Fano threefolds with degree 28 and Picard rank 4
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913528019943424 |
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| author | Heuberger, Liana Petracci, Andrea |
| author_facet | Heuberger, Liana Petracci, Andrea |
| contents | We analyse the local structure of the K-moduli space of Fano varieties at a toric singular K-polystable Fano 3-fold, which deforms to smooth Fano 3-folds with anticanonical volume 28 and Picard rank 4. In particular, by constructing an algebraic deformation of this toric singular Fano, we show that the irreducible component of K-moduli parametrising these smooth Fano 3-folds is a rational surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12562 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On K-moduli of Fano threefolds with degree 28 and Picard rank 4 Heuberger, Liana Petracci, Andrea Algebraic Geometry 14J45, 14M25, 14B12 We analyse the local structure of the K-moduli space of Fano varieties at a toric singular K-polystable Fano 3-fold, which deforms to smooth Fano 3-folds with anticanonical volume 28 and Picard rank 4. In particular, by constructing an algebraic deformation of this toric singular Fano, we show that the irreducible component of K-moduli parametrising these smooth Fano 3-folds is a rational surface. |
| title | On K-moduli of Fano threefolds with degree 28 and Picard rank 4 |
| topic | Algebraic Geometry 14J45, 14M25, 14B12 |
| url | https://arxiv.org/abs/2303.12562 |