Rigid isotopy classification of real algebraic curves of bidegree (3,3) on quadrics |
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| Authors: | A I Degtyarev V I Zvonilov |
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| Institution: | (1) Bilkent University, Ankara, Turkey;(2) Syktyvkar State University, Syktyvkar, USSR |
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| Abstract: | 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.
Translated fromMatematicheskie Zametki, Vol. 66, No. 6, pp. 810–815, December, 1999. |
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| Keywords: | real algebraic curve quadric bidegree rigid isotopy real scheme node cusp hyperboloid ellipsoid torus oval chamber wall blow up |
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