Curves on Heisenberg invariant quartic surfaces in projective 3-space

被引：8
|
作者：
Eklund, David [1 ]
机构：
[1] KTH, Dept Math, Lindstedtsvagen 25, S-10044 Stockholm, Sweden
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 4卷 / 03期
关键词：
Quartic surface; Conic; Finite Heisenberg group; Picard group;
D O I：
10.1007/s40879-018-0216-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is about the family of smooth quartic surfaces X subset of P-3 that are invariant under the Heisenberg group H-2,H-2. For a very generic X. we show that the Picard number of X is 16 and determine its Picard lattice. It turns out that a very generic X contains 320 irreducible conics which generate the Picard group of X.
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页码：931 / 952
页数：22
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