Genus formula for generalized offset curves

被引:41
作者
Arrondo, E
Sendra, J [1 ]
Sendra, JR [1 ]
机构
[1] Univ Alcala de Henares, Fac Ciencias, Dept Matemat, E-28871 Alcala De Henares, Spain
[2] Univ Complutense Madrid, Fac Ciencias Matemat, Dept Algebra, E-28040 Madrid, Spain
关键词
D O I
10.1016/S0022-4049(98)00028-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present a formula for computing the genus of irreducible generalized offset curves to projective irreducible plane curves with only affine ordinary singularities over an algebraically closed field. The formula expresses the genus of the offset by means of the degree and the genus of the original curve. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:199 / 209
页数:11
相关论文
共 11 条
[1]  
[Anonymous], 1978, ALGEBRAIC CURVES
[2]   Parametric generalized offsets to hypersurfaces [J].
Arrondo, E ;
Sendra, J ;
Sendra, JR .
JOURNAL OF SYMBOLIC COMPUTATION, 1997, 23 (2-3) :267-285
[3]  
Farouki R. T., 1990, Computer-Aided Geometric Design, V7, P83, DOI 10.1016/0167-8396(90)90023-K
[4]  
FAROUKI RT, 1990, COMPUT AIDED GEOM D, V7, P100
[5]  
Hartshorne R., 1977, Graduate Texts in Mathematics
[6]  
HOFFMANN CM, 1990, NATO ADV SCI I C-MAT, V307, P499
[7]   OFFSET-RATIONAL PARAMETRIC PLANE-CURVES [J].
LU, W .
COMPUTER AIDED GEOMETRIC DESIGN, 1995, 12 (06) :601-616
[8]  
POTTMAN H, 1995, 23 TU WIEN I GEOM
[9]   RATIONAL CURVES AND SURFACES WITH RATIONAL OFFSETS [J].
POTTMANN, H .
COMPUTER AIDED GEOMETRIC DESIGN, 1995, 12 (02) :175-192
[10]  
Salmon G., 1960, A Treatise on the Higher Plane Curves: Intended as a Sequel to "A Treatise on Conic Sections", V3rd ed.