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| RATIONALITY OF THE OFFSETS TO ALGEBRAIC CURVES AND SURFACES | |
| 引用本文： | LU WEI(Department of Applied Mathematics,Zhejiang University,Hangzhou 310027). RATIONALITY OF THE OFFSETS TO ALGEBRAIC CURVES AND SURFACES[J]. 高校应用数学学报(英文版), 1994, 9(3): 265-277. DOI: 10.1007/BF02663776 |
| 作者姓名： | LU WEI(Department of Applied Mathematics Zhejiang University Hangzhou 310027) |
| 作者单位： | Department of Applied Mathematics，Zhejiang University，Hangzhou 310027 |
| 摘 要： | ＲＡＴＩＯＮＡＬＩＴＹＯＦＴＨＥＯＦＦＳＥＴＳＴＯＡＬＧＥＢＲＡＩＣＣＵＲＶＥＳＡＮＤＳＵＲＦＡＣＥＳ￥ＬＵＷＥＩ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＺｈｅｊｉａｎｇＵｎｉｖｅｒｓｉｔｙ，Ｈａｎｇｚｈｏｕ３１００２７）Ａｂ... |
| 收稿时间： | 1993-12-21 |
Rationality of the offsets to algebraic curves and surfaces |
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| Lü Wei. Rationality of the offsets to algebraic curves and surfaces[J]. Applied Mathematics A Journal of Chinese Universities, 1994, 9(3): 265-277. DOI: 10.1007/BF02663776 | |
| Authors: | Lü Wei |
| Affiliation: | (1) Department of Applied Mathematics, Zhejiang University, 310027 Hangzhou |
| Abstract: | simple method is developed to identify the rationality of offsets to algebraic curves and surfaces which are gived either implicitly or parametrically and to parametrize the offsets if they are rational. In particular,we show that offsets to ellipses and hyperbolas are of nonzero genus except for the circles,and somewhat surprisingly,that offsets to paraboloids and hyperboloids with one sheet can all be rationally parametrized. |
| Keywords: | offsets genus rational parametrizations algebraic curves and surfaces quadric curves and surfaces cubics. |
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