On canonical curves and osculating spaces

被引：2

作者：

Medeiros, N ^{[1
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat, BR-24020005 Niteroi, RJ, Brazil

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2002年 / 170卷 / 2-3期

关键词：

D O I：

10.1016/S0022-4049(01)00073-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the geometry of a reduced canonical curve with a nondegenerate component. We prove that the other components are rational normal curves in a certain configuration. In addition, given a nonsingular point on a nondegenerate component, we analyze the relationship between the Weierstrass semigroup and the intersection divisors of the osculating spaces with the curve. We describe how these divisors vary and present an upper bound for their degrees. We study in detail the curves that attain this bound. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：267 / 285

页数：19

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