| P~3中3次曲面与平面4次曲线间的关系 |
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| 引用本文： | 季庆光.P~3中3次曲面与平面4次曲线间的关系[J].系统科学与数学,1998,18(4):490-493. |
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| 作者姓名： | 季庆光 |
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| 作者单位： | 复旦大学数学系!上海，200433，复旦大学数学系!上海，200433 |
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| 摘 要： | 本文通过二重覆盖建立了P3中仅有二重的孤立奇点的3次曲面与平面带孤立奇点的4次曲线的对应关系，这种关系使我们能用平面4次曲线的奇点分类及几何性质研究P3中3次曲面的奇点类型及几何性质
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| 关 键 词： | 二重覆盖 奇点解消 孤立奇点 |
A CONNECTION BETWEEN CUBIC SURFACE IN P~3 AND QUARTIC CURVE IN P~2 |
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| Ji Qingguang,Chang Wenwu.A CONNECTION BETWEEN CUBIC SURFACE IN P~3 AND QUARTIC CURVE IN P~2[J].Journal of Systems Science and Mathematical Sciences,1998,18(4):490-493. |
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| Authors: | Ji Qingguang Chang Wenwu |
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| Institution: | (Department of Mathematics, Fudan University, Shanghai 210043) |
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| Abstract: | A correspondence between cubic surface in P3 with only rational singularities and quartic curve in P2 with simple singularities is established via double covering. By using it, the classification of singularity and geometric property on cubic surface in P3 are studied carefully by means of that on quartic curve in P2. |
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| Keywords: | Double covering resolution of singularity isolated singular point |
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