Fano varieties with torsion in the third cohomology group

John Christian Ottem, Jørgen Vold Rennemo, János Kollár

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
JournalJournal fur die Reine und Angewandte Mathematik
StateAccepted/In press - 2024

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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