Non-factorial quartic double solids

被引：1
|
作者：
Hong, Kyusik [1 ,2 ]
机构：
[1] Konkuk Univ, Dept Math, 1 Hwayang Dong, Seoul 143701, South Korea
[2] Konkuk Univ, Inst Math Sci, Seoul 143701, South Korea
来源：
ADVANCES IN GEOMETRY | 2014年 / 14卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Double solid; factoriality; speciality of a linear system; nodal surface; VARIETIES; IRRATIONALITY; JACOBIANS; THREEFOLD; POINTS; SPACES;
D O I：
10.1515/advgeom-2013-0026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the factoriality of a double cover X-4 of P-3 ramified along a nodal quartic surface, and we formulate a natural conjecture which would answer this problem depending on the number r, 8 <= r <= 10, of nodes of X-4. We prove this conjecture when there is a nonsingular quadric surface containing all the nodes of X-4.
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页码：161 / 174
页数：14
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