Mathematics

Knowledge and understanding: at the end of the course the student will be acquainted with basic notions and results in the theory of schemes, cohomology of coherent sheaves, and the theory of projective curves and surfaces. Applying knowledge and understanding: at the end of the course the student will be able to read and comprehend some papers in Algebraic Geometry. Analytical and judgment abilities: the student will appreciate the analogies between classical Algebraic Geometry and Number Theory. Communication skills: the student will be able to communicate the contents of the lectures, in particular illustrating them via concrete examples. Learning skills: the acquired notions will allow the student to study (either by themselves or in a PhD course) more advanced topics in Algebraic Geometry.