Lecture notes
Embedding dimension and Regularity
Resultants and Discriminants
Trace, Norm and Discriminant
Higher Topics
Absolute irreducibility
Algebraic Curves: some basic facts
Bezout’s Theorem
Generalized traces and complementary modules
Differentials on curves
Finite-ness theorems
Hilbert-Samuel functions and polynomials
Homogeneous localization
Homogeneous coordinate rings
Krull dimension
Linear systems and Divisors on curves
Parametrization
Quotient fields of graded domains
Theorems of Riemann-Roch, Clifford and Hurwitz
