The indeterminacy locus of the Voisin map
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2017
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| _version_ | 1866929445244239872 |
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| author | Muratore, Giosuè Emanuele |
| author_facet | Muratore, Giosuè Emanuele |
| contents | Beauville and Donagi proved that the variety of lines $F(Y)$ of a smooth cubic fourfold $Y$ is a hyperkähler variety. Recently, C. Lehn, M.Lehn, Sorger and van Straten proved that one can naturally associate a hyperKähler variety $Z(Y)$ to the variety of twisted cubics on $Y$. Then, Voisin defined a degree 6 rational map $ψ:F(Y)\times F(Y)\dashrightarrow Z(Y)$. We will show that the indeterminacy locus of $ψ$ is the locus of intersecting lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_06218 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | The indeterminacy locus of the Voisin map Muratore, Giosuè Emanuele Algebraic Geometry 14E05, 53D05 (Primary), 32J27 (Secondary) Beauville and Donagi proved that the variety of lines $F(Y)$ of a smooth cubic fourfold $Y$ is a hyperkähler variety. Recently, C. Lehn, M.Lehn, Sorger and van Straten proved that one can naturally associate a hyperKähler variety $Z(Y)$ to the variety of twisted cubics on $Y$. Then, Voisin defined a degree 6 rational map $ψ:F(Y)\times F(Y)\dashrightarrow Z(Y)$. We will show that the indeterminacy locus of $ψ$ is the locus of intersecting lines. |
| title | The indeterminacy locus of the Voisin map |
| topic | Algebraic Geometry 14E05, 53D05 (Primary), 32J27 (Secondary) |
| url | https://arxiv.org/abs/1711.06218 |