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.
机构:
Kharazmi Univ, Mosaheb Inst Math, Tehran, Iran
Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, IranUniv Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, Italy
Jafari, Raheleh
Strazzanti, Francesco
论文数: 0引用数: 0
h-index: 0
机构:
Univ Barcelona, Inst Matemat, Gran Via Corts Catalanes 585, E-08007 Barcelona, SpainUniv Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, Italy
机构:
Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
Romanian Acad, Inst Math, Bucharest 014700, RomaniaUniv Michigan, Dept Math, Ann Arbor, MI 48109 USA