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

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      Author
      Degtyarev, A. I.
      Zvonilov, V. I.
      Date
      1999
      Source 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
      Article
      Item 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 curve
      Quadric
      Bidegree
      Rigid isotopy
      Real scheme
      Node
      Cusp
      Hyperboloid
      Ellipsoid
      Torus
      Oval
      Chamber
      Wall
      Blow up
      Permalink
      http://hdl.handle.net/11693/25186
      Published Version (Please cite this version)
      http://doi.org/10.1007/BF02674324
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      • Department of Mathematics 614
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