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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 99-124 |
| Number of pages | 26 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | 2024 |
| Issue number | 812 |
| DOIs | |
| State | Published - Jul 1 2024 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
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