Weighted Fano varieties and infinitesimal Torelli problem

被引：4
|
作者：
Fatighenti, Enrico [1 ]
Rizzi, Luca [2 ]
Zucconi, Francesco [2 ]
机构：
[1] Univ Warwick, Math Inst, Zeeman Bldg, Warwick CV4 7AL, England
[2] Univ Udine, DMIF, Via Sci 206, Udine, Italy
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 139卷
基金：
英国工程与自然科学研究理事会;
关键词：
Torelli problem; Quasi-smooth Fano threefolds; Gushel-Mukai type varieties; GENERIC TORELLI; THEOREM;
D O I：
10.1016/j.geomphys.2018.09.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2019 Elsevier B.V. All rights reserved.
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页码：1 / 16
页数：16
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