20410449 - GE410 - ALGEBRAIC GEOMETRY 1

Introduce to the study of topology and geometry defined through algebraic tools. Refine the concepts in algebra through applications to the study of algebraic varieties in affine and projective spaces.

Curriculum

scheda docente | materiale didattico

Programma

Algebraic varieties in affine and projective spaces over algebraically closed fields.
Veronese and Segre varieties.
Products and projections.
Local geometry of algebraic varieties

Divisors linear systems and e morphisms of projective varieties.
Commutative algebra

Testi Adottati

I. Shafarevich. Basic algebraic geometry vol. 1 Springer-Verlag, New York-Heidelberg, 1977.
L. Caporaso. Introduzione alla geometria algebrica . Versione preliminare.


Modalità Frequenza

In class

Modalità Valutazione

Seminar on chosen topics.

scheda docente | materiale didattico

Mutuazione: 20410449 GE410 - GEOMETRIA ALGEBRICA 1 in Matematica LM-40 CAPORASO LUCIA

Programma

Algebraic varieties in affine and projective spaces over algebraically closed fields.
Veronese and Segre varieties.
Products and projections.
Local geometry of algebraic varieties

Divisors linear systems and e morphisms of projective varieties.
Commutative algebra

Testi Adottati

I. Shafarevich. Basic algebraic geometry vol. 1 Springer-Verlag, New York-Heidelberg, 1977.
L. Caporaso. Introduzione alla geometria algebrica . Versione preliminare.


Modalità Frequenza

In class

Modalità Valutazione

Seminar on chosen topics.