Hirschfeld, JamesAldawsari, Abdullah2024-04-152024-04-152023-12-20https://hdl.handle.net/20.500.14154/71772This thesis began a thorough investigation of the complicated interactions between geometric characteristics and the intrinsic algebraic structures in the world of projective curves. The focus of the inquiry was a methodical analysis of curve C' in the confined affine plane A to the power 2 (K) , on the field K, has the set of zeros (x, y) of a polynomial f (X,Y) . The curve C' present in the projective plane P to the power 2 (K has the set of zeros (x, y, z) of a polynomial which were homogeneous F (X, Y, Z). Therefore, this study investigated the singular point, inflection point, genus of C' along with the points of intersections of these two curves and produced valuable results.73enProjective Curves in Algebraic GeometryAlgebraic GeometryAlgebraicGeometryProjective CurvesProjectiveCurvesMathematicsMathThesis