Browsing by Subject "Cusp"

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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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    Singularities of plane model of the modular curve Yo(l)
    (1998-08) Kara, Orhun
    In this work, we have described the singularities of plane model of Z subscript 0 (l) of the modular curve Yo (l) in a field of both characteristic 0 and positive characteristic p>3 for prime l's not equal to p. Also, we have counted the number of those singularities.