On the class of projective surfaces of general type

被引:1
|
作者
Fukuma, Yoshiaki [1 ]
Ito, Kazuhisa [2 ]
机构
[1] Kochi Univ, Fac Sci, Dept Math, Akebono Cho, Kochi 7808520, Japan
[2] Kochi Univ, Grad Sch Integrated Arts & Sci, Studies Sci, Akebono Cho, Kochi 7808520, Japan
关键词
Class; surfaces of general type; very ample divisor; sectional genus; Delta-genus; VARIETIES; SYSTEMS;
D O I
10.14492/hokmj/1510045305
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let S be a smooth complex projective surface of general type, H be a very ample divisor on S and m(S; H) be the class of (S; H). In this paper, we study a lower bound for m (S; H) - 3H(2) and we improve an inequality obtained by Lanteri. We also study (S; H) with each value of m (S; H) - 3H(2) and exhibit some examples.
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页码:407 / 422
页数:16
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