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
Veronese and Segre varieties.
Products and projections.
Local geometry of algebraic varieties
Divisors linear systems and e morphisms of projective varieties.
Commutative algebra
L. Caporaso. Introduzione alla geometria algebrica . Versione preliminare.
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 classModalità Valutazione
Seminar on chosen topics.
scheda docente
materiale didattico
Veronese and Segre varieties.
Products and projections.
Local geometry of algebraic varieties
Divisors linear systems and e morphisms of projective varieties.
Commutative algebra
L. Caporaso. Introduzione alla geometria algebrica . Versione preliminare.
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 classModalità Valutazione
Seminar on chosen topics.