Rigid isotopy classification of real algebraic curves of bidegree (3,3) on quadrics

被引:0
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作者
A. I. Degtyarev
V. I. Zvonilov
机构
[1] Bilkent University,
[2] Syktyvkar State University,undefined
来源
Mathematical Notes | 1999年 / 66卷
关键词
real algebraic curve; quadric; bidegree; rigid isotopy; real scheme; node; cusp; hyperboloid; ellipsoid; torus; oval; chamber; wall; blow up;
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摘要
A rigid isotopy of nonsingular real algebraic curves on a quadric is a path in the space of such curves of a given bidegree. We obtain the rigid isotopy classification of nonsingular real algebraic curves of bidegree (3, 3) on a hyperboloid and on an ellipsoid. We also study of the space of real algebraic curves of bidegree (3, 3) with a single node or cusp.
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页码:670 / 674
页数:4
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