Rigid isotopy classification of real algebraic curves of bidegree (3,3) on quadrics
Date
1999
Authors
Degtyarev, A. I.
Zvonilov, V. I.
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Source Title
Academy of Sciences of the USSR Mathematical Notes
Print ISSN
0001-4346
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Publisher
M A I K Nauka - Interperiodica
Volume
66
Issue
6
Pages
670 - 674
Language
English
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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 the space of real algebraic curves of bidegree (3, 3) with a single node or cusp. ©2000 Kluwer Academic/Plenum Publishers.
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Keywords
Real algebraic curve , Quadric , Bidegree , Rigid isotopy , Real scheme , Node , Cusp , Hyperboloid , Ellipsoid , Torus , Oval , Chamber , Wall , Blow up