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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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.

Source Title

Academy of Sciences of the USSR Mathematical Notes

Publisher

M A I K Nauka - Interperiodica

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Published Version (Please cite this version)

Language

English