Algebraic Curves

0.5 credits · Undergraduate

Projective geometry. Curves and Riemann surfaces. Algebraic methods. Intersection of curves; linear systems; Bezout's theorem. Cubics and elliptic curves. Riemann-Roch theorem. Newton polygon and Puiseux expansion; resolution of singularities. This course will be offered in alternating years. Joint undergraduate/graduate course - MAT449H1 /MAT1194H