Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities

被引：0

作者：

Naie, Daniel ^{[1
]}

机构：

[1] Univ Angers, CNRS LAREMA, SFR Math Stic, F-49045 Angers, France

来源：

ADVANCES IN GEOMETRY | 2022年 / 22卷 / 03期

关键词：

Surface; quartic hypersurface; VECTOR-BUNDLES; VARIETIES;

D O I：

10.1515/advgeom-2022-0008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that a smooth surface lying on a nodal quartic hypersurface in DOUBLE-STRUCK CAPITAL P-4 is either regular or an elliptic conic bundle of degree 8. Furthermore, the latter configuration is shown to exist.

引用

页码：341 / 354

页数：14

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