Hilbert schemes of K3 surfaces are dense in moduli
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2011
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| Soggetti: | |
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| _version_ | 1866912088280006656 |
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| author | Markman, Eyal Mehrotra, Sukhendu |
| author_facet | Markman, Eyal Mehrotra, Sukhendu |
| contents | We prove that the locus of Hilbert schemes of n points on a projective K3 surface is dense in the moduli space of irreducible holomorphic symplectic manifolds of that deformation type. The analogous result for generalized Kummer manifolds is proven as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1201_0031 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Hilbert schemes of K3 surfaces are dense in moduli Markman, Eyal Mehrotra, Sukhendu Algebraic Geometry We prove that the locus of Hilbert schemes of n points on a projective K3 surface is dense in the moduli space of irreducible holomorphic symplectic manifolds of that deformation type. The analogous result for generalized Kummer manifolds is proven as well. |
| title | Hilbert schemes of K3 surfaces are dense in moduli |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1201.0031 |