Inflexion Points on Plane Algebraic Curves

نویسنده

  • Andreas Steiger
چکیده

In this thesis we will have a look at algebraic curves in the projective plane over an arbitrary algebraically closed field k. Using the resultant of polynomial rings over k we define intersection multiplicities and prove Bézout’s Theorem for effective divisors. We define singularities and inflexion points and count their number depending on the degree of the curve, using the Hessian of a curve.

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تاریخ انتشار 2008