Rigid isotopy classification of real algebraic curves of bidegree (3,3) on quadrics
Author
Degtyarev, A. I.
Zvonilov, V. I.
Date
1999Source Title
Academy of Sciences of the USSR Mathematical Notes
Print ISSN
0001-4346
Publisher
M A I K Nauka - Interperiodica
Volume
66
Issue
6
Pages
670 - 674
Language
English
Type
ArticleItem Usage Stats
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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.
Keywords
Real algebraic curveQuadric
Bidegree
Rigid isotopy
Real scheme
Node
Cusp
Hyperboloid
Ellipsoid
Torus
Oval
Chamber
Wall
Blow up