PRIMITIVE LINEAR SERIES ON CURVES

被引：44
|
作者：
COPPENS, M
KEEM, C
MARTENS, G
机构：
[1] UNIV LEUVEN,B-3030 LOUVAIN,BELGIUM
[2] UNIV ERLANGEN NURNBERG,INST MATH,W-8520 ERLANGEN,GERMANY
[3] SEOUL NATL UNIV,COLL NAT SCI,DEPT MATH,SEOUL 151742,SOUTH KOREA
来源：
MANUSCRIPTA MATHEMATICA | 1992年 / 77卷 / 2-3期
关键词：
D O I：
10.1007/BF02567056
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study a new numerical invariant l of curves C which is related to the primitive linear series on C. (Primitive series - defined below - are the essential complete and special linear series on C.) The curves with l less-than-or-equal-to 3 are classified, and it is shown that for a given value of l the curve is a double covering if its genus is sufficiently high. The main tool are dimension theorems of H. Martens-Mumford-type for the varieties of special divisors of C, and we prove two refinements of these theorems.
引用
收藏
页码：237 / 264
页数：28
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