TY - JOUR
T1 - Fano varieties with torsion in the third cohomology group
AU - Ottem, John Christian
AU - Rennemo, Jørgen Vold
AU - Kollár, János
N1 - Publisher Copyright:
© 2024 the author(s), published by De Gruyter.
PY - 2024/7/1
Y1 - 2024/7/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85191030215&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85191030215&partnerID=8YFLogxK
U2 - 10.1515/crelle-2024-0020
DO - 10.1515/crelle-2024-0020
M3 - Article
AN - SCOPUS:85191030215
SN - 0075-4102
VL - 2024
SP - 99
EP - 124
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
IS - 812
ER -