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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.07391 |
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| _version_ | 1866917534658199552 |
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| author | Agostini, Daniele Barros, Ignacio Lai, Kuan-Wen |
| author_facet | Agostini, Daniele Barros, Ignacio Lai, Kuan-Wen |
| contents | The aim of this paper is to estimate the irrationality of moduli spaces of hyperkähler manifolds of types K3$^{[n]}$, Kum$_{n}$, OG6, and OG10. We prove that the degrees of irrationality of these moduli spaces are bounded from above by a universal polynomial in the dimension and degree of the manifolds they parametrize. We also give a polynomial bound for the degrees of irrationality of moduli spaces of $(1,d)$-polarized abelian surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07391 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the irrationality of moduli spaces of projective hyperkähler manifolds Agostini, Daniele Barros, Ignacio Lai, Kuan-Wen Algebraic Geometry The aim of this paper is to estimate the irrationality of moduli spaces of hyperkähler manifolds of types K3$^{[n]}$, Kum$_{n}$, OG6, and OG10. We prove that the degrees of irrationality of these moduli spaces are bounded from above by a universal polynomial in the dimension and degree of the manifolds they parametrize. We also give a polynomial bound for the degrees of irrationality of moduli spaces of $(1,d)$-polarized abelian surfaces. |
| title | On the irrationality of moduli spaces of projective hyperkähler manifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2307.07391 |