2016/11/30 by Enrico Fatighenti, Luca Rizzi, Francesco Zucconi · 6 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Combinatorics #Counterexample #Degree (music) #Dimension (graph theory) #Fano plane #Geometric and Algebraic Topology #Gravitational singularity #Infinitesimal #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #math.AG
paper · pdf · doi:10.1016/j.geomphys.2018.09.020
published in Journal of Geometry and Physics 139, 1-16 (Elsevier BV) · Final version, to appear in Journal of Geometry and Physics
openalex publication_date 2019/01/18 · arxiv created 2019/02/14 · arxiv updated 2019/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.