Lines on quartic surfaces

被引：18

作者：

Degtyarev, Alex ^{[1
]}

Itenberg, Ilia ^{[2
,3
]}

Sertoz, Ali Sinan ^{[1
]}

机构：

[1] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

[2] Univ Paris 06, Inst Math Jussieu Paris Rive Gauche, 4 Pl Jussieu, F-75252 Paris 5, France

[3] Ecole Normale Super, Dept Math & Applicat, 45 Rue Ulm, F-75230 Paris 5, France

来源：

MATHEMATISCHE ANNALEN | 2017年 / 368卷 / 1-2期

基金：

日本学术振兴会;

关键词：

K3; SURFACES; RATIONAL CURVES;

D O I：

10.1007/s00208-016-1484-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the maximal number of (real) lines in a (real) nonsingular spatial quartic surface is 64 (respectively, 56). We also give a complete projective classification of all quartics containing more than 52 lines: all such quartics are pro-jectively rigid. Any value not exceeding 52 can appear as the number of lines of an appropriate quartic.

引用

页码：753 / 809

页数：57

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