Università Roma Tre

Algebraic varieties in affine snd projective spaces on an algebraically closed field. Rational maps and morphisms, Segre and Veronese varieties, products, projections. Local geometry of an algebraic variety. Normal varieties and normalization. Divisors, linear systems and morphisms of projective varieties.

1) R. Hartshorne, Algebraic geometry, Graduate Texts in Math. No. 52. Springer-Verlag, New York-Heidelberg, 1977.
2) I. Shafarevich, Basic algebraic geometry vol. 1, Springer-Verlag, New York-Heidelberg, 1977.
3) J. Harris, Algebraic geometry (a first course), Graduate Texts in Math. No. 133. Springer-Verlag, New York-Heidelberg, 1977.
4) Notes of the course by Lucia Caporaso