Rectifiable Pencils of Conics
نویسنده
چکیده
We describe analytic pencils of conics passing through the origin in C that can be mapped to straight lines locally near the origin by an analytic diffeomorphism. Under a minor non-degeneracy assumption, we prove that in a pencil with this property, almost all conics have 3 points of tangency with the same algebraic curve of class 3 (i. e. a curve projectively dual to a cubic). 2000 Math. Subj. Class. 51N15.
منابع مشابه
Plane Conics in Algebraic Geometry
We first examine points and lines within projective spaces. Then we classify affine conics based on the classification of projective conics. Based on the parametrization of conics, we also prove two easy cases of Bézout’s Theorem. In the end we turn to the discussion of the space of conics and the notion of pencils of conics.
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