We solve the infinitesimal Torelli problem for 3-dimensional quasi-smooth Q-Fano hypersurfaces with at worst terminal singularities. We also find infinite chains of double coverings of increasing dimension which alternatively distribute themselves in examples and counterexamples for the infinitesimal Torelli claim and which share the analogue, and in some cases the same, Hodge-diagram properties as the length 3 Gushel–Mukai chain of prime smooth Fanos of coindex 3 and degree 10.
Weighted Fano varieties and infinitesimal Torelli problem / Fatighenti E.; Rizzi L.; Zucconi F.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - ELETTRONICO. - 139:(2019), pp. 1-16. [10.1016/j.geomphys.2018.09.020]
Weighted Fano varieties and infinitesimal Torelli problem
Fatighenti E.
;
2019
Abstract
We solve the infinitesimal Torelli problem for 3-dimensional quasi-smooth Q-Fano hypersurfaces with at worst terminal singularities. We also find infinite chains of double coverings of increasing dimension which alternatively distribute themselves in examples and counterexamples for the infinitesimal Torelli claim and which share the analogue, and in some cases the same, Hodge-diagram properties as the length 3 Gushel–Mukai chain of prime smooth Fanos of coindex 3 and degree 10.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
