Algebraic Geometry

Teachers: Dajano Tossici and Andrea Fanelli

Program:

This course will focus on algebraic varieties and classical algebraic geometry.

-Affine algebraic sets;
-Nullstellensatz;
-Algebraic varieties;
-Dimension of varieties;
-Proper algebraic varieties;
-Smooth varieties;
-Algebraic curves;
-Riemann-Roch Theorem.

Prerequisites:

Basic notion of commutative algebra.

Bibliography:

Igor R. Shafarevich: Basic Algebraic Geometry 1: Varieties in Projective Space, Springer.