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.

引用

页数：16

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