Fano varieties with torsion in the third cohomology group
Abstract: We construct first examples of Fano varieties with torsion in their third cohomology group. The examples are constructed as double covers of linear sections of rank loci of symmetric matrices, and can be seen as higher-dimensional analogues of the Artin–Mumford threefold. As an application, we answer a question of Voisin on the coniveau and strong coniveau filtrations of rationally connected varieties.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Fano varieties with torsion in the third cohomology group ; volume:2024 ; number:812 ; year:2024 ; pages:99-124 ; extent:26
Journal für die reine und angewandte Mathematik ; 2024, Heft 812 (2024), 99-124 (gesamt 26)
- Creator
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Ottem, John Christian
Rennemo, Jørgen Vold
Kollár, János
- DOI
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10.1515/crelle-2024-0020
- URN
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urn:nbn:de:101:1-2407021542522.786539547850
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:57 AM CEST
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Associated
- Ottem, John Christian
- Rennemo, Jørgen Vold
- Kollár, János
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