Contact curves on cones

被引:0
|
作者
Canonero, G
Gallarati, D
Serpico, ME
机构
[1] Univ Genoa, Dipartimento & Modelli Matemat, I-16129 Genoa, Italy
[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy
关键词
14;
D O I
10.1016/S0022-4049(00)00096-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let F be an algebraic surface in the projective 3-space and G(0) a surface touching F along the curve C-0 = F boolean AND G(0). We develop a special algorithm to find all algebraic surfaces touching F along any algebraic curve C linked to C-0. Then, after observing that on an algebraic non-singular cone F of degree less than or equal to 4 any curve C is linked to a group of generators, we determine all algebraic surfaces circumscribed about a cone of degree 3 or 4. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
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页码:45 / 64
页数:20
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