On some invariants of cubic fourfolds

被引：0
|
作者：
Gounelas, Frank [1 ]
Kouvidakis, Alexis [2 ]
机构：
[1] Georg August Univ Gottingen, Fak Math & Informat, Bunsen Str 3 5, D-37073 Gottingen, Germany
[2] Univ Crete, Dept Math & Appl Math, Iraklion 70013, Greece
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 9卷 / 03期
关键词：
Cubic fourfold; Fano scheme; Second type locus; Invariants; VARIETY; LINES;
D O I：
10.1007/s40879-023-00651-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a general cubic fourfold X subset of P-5 with Fano variety F, we compute the Hodge numbers of the locus S subset of F of lines of second type and the class of the locus V subset of F of triple lines, using the description of the latter in terms of flag varieties. We also give an upper bound of 6 for the degree of irrationality of the Fano scheme of lines of any smooth cubic hypersurface.
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页数：16
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