Plane Algebraic Curves

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The research begins by having a look at the geometry of the curves. An analysis of the points that are on the non singular curve from the group is conducted, and the results that connect the number of intersection to the two planes and their degree is discussed (Bezout’s Theorem). The final part of the thesis is based on the discussion of the finite geometric structure that emanates from algebraic curves over finite fields [1],[2],[3] and the discussion on the size of sets with finite number of lines

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