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. - 139:(2019), pp. 1-16. [https://doi.org/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.
2019
Fano; Torelli; birational geometry
01 Pubblicazione su rivista::01a Articolo in rivista
Weighted Fano varieties and infinitesimal Torelli problem / Fatighenti, E; Rizzi, L; Zucconi, F. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 139:(2019), pp. 1-16. [https://doi.org/10.1016/j.geomphys.2018.09.020]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1549023
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