Browsing by Subject "Real algebraic curve"

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    Rigid isotopy classification of real algebraic curves of bidegree (3,3) on quadrics
    (M A I K Nauka - Interperiodica, 1999) Degtyarev, A. I.; Zvonilov, V. I.
    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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    Topological properties of real algebraic varieties: du coté de chez Rokhlin
    (Russian Academy of Sciences, (DoM) and London Mathematical Society, 2000) Degtyarev, A. I.; Kharlamov, V. M.
    The survey gives an overview of the achievements in topology of real algebraic varieties in the direction initiated in the early 70th by V. I. Arnold and V. A. Rokhlin. We make an attempt to systematize the principal results in the subject. After an exposition of general tools and results, special attention is paid to surfaces and curves on surfaces.