Gushel--Mukai varieties: intermediate Jacobians
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866929314273951744 |
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| author | Debarre, Olivier Kuznetsov, Alexander |
| author_facet | Debarre, Olivier Kuznetsov, Alexander |
| contents | We describe intermediate Jacobians of Gushel-Mukai varieties $X$ of dimensions 3 or 5: if $A$ is the Lagrangian space associated with $X$, we prove that the intermediate Jacobian of $X$ is isomorphic to the Albanese variety of the canonical double covering of any of the two dual Eisenbud-Popescu-Walter surfaces associated with $A$. As an application, we describe the period maps for Gushel-Mukai threefolds and fivefolds. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2002_05620 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Gushel--Mukai varieties: intermediate Jacobians Debarre, Olivier Kuznetsov, Alexander Algebraic Geometry 14J45, 14J35, 14J40, 14M15 We describe intermediate Jacobians of Gushel-Mukai varieties $X$ of dimensions 3 or 5: if $A$ is the Lagrangian space associated with $X$, we prove that the intermediate Jacobian of $X$ is isomorphic to the Albanese variety of the canonical double covering of any of the two dual Eisenbud-Popescu-Walter surfaces associated with $A$. As an application, we describe the period maps for Gushel-Mukai threefolds and fivefolds. |
| title | Gushel--Mukai varieties: intermediate Jacobians |
| topic | Algebraic Geometry 14J45, 14J35, 14J40, 14M15 |
| url | https://arxiv.org/abs/2002.05620 |