Singularities of normal quartic surfaces II (char=2)

被引：0

作者：

Catanese, Fabrizio ^{[1
,2
]}

Schuett, Matthias ^{[3
,4
]}

机构：

[1] Univ Bayreuth, Lehrstuhl Math 8, Math Inst, NW 2,Univ Str 30, D-95447 Bayreuth, Germany

[2] Korea Inst Adv Study, Hoegiro 87, Seoul 133722, South Korea

[3] Leibniz Univ Hannover, Inst Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany

[4] Leibniz Univ Hannover, Riemann Ctr Geometry & Phys, Appelstr 2, D-30167 Hannover, Germany

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2022年 / 18卷 / 04期

关键词：

Quartic surface; singularity; Gauss map; genus one fibration; supersingular K3 surface; K3; SURFACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show, in this second part, that the maximal number of singular points of a normal quartic surface X subset of P-K(3) defined over an algebraically closed field K of characteristic 2 is at most 14, and that, if we have 14 singularities, these are nodes and moreover the minimal resolution of X is a supersingular K3 surface. We produce an irreducible component, of dimension 24, of the variety of quartics with 14 nodes. We also exhibit easy examples of quartics with 7 A(3)-singularities.

引用

页码：1379 / 1420

页数：42

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