Pencils on separating (M-2)-curves

被引:0
|
作者
Coppens, Marc [1 ,2 ]
机构
[1] Thomas Moore Kempen, Dept IBW, B-2440 Geel, Belgium
[2] Katholieke Univ Leuven, Dept Math, B-3001 Leuven, Belgium
关键词
Real curve; Linear pencil; Separating gonality; Special type; Teichmuller space; REAL ALGEBRAIC-CURVES;
D O I
10.1007/s10231-012-0309-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A separating ()-curve is a smooth geometrically irreducible real projective curve such that has connected components and is disconnected. Let be a Teichmuller space of separating ()-curves of genus g. We consider two partitions of , one by means of a concept of special type, the other one by means of the separating gonality. We show that those two partitions are very closely related to each other. As an application, we obtain the existence of real curves having isolated real linear systems for all g >= 4.
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页码:961 / 973
页数:13
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