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
teacher profile teaching materials
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
Mutuazione: 20410449 GE410 - GEOMETRIA ALGEBRICA 1 in Matematica LM-40 LELLI CHIESA MARGHERITA, TURCHET AMOS
Programme
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.Core Documentation
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
Type of delivery of the course
Lezioni frontali e esercitazioniType of evaluation
We will decide during the course whether to have midterm exams. teacher profile teaching materials
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
Mutuazione: 20410449 GE410 - GEOMETRIA ALGEBRICA 1 in Matematica LM-40 LELLI CHIESA MARGHERITA, TURCHET AMOS
Programme
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.Core Documentation
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
Type of delivery of the course
Lezioni frontali e esercitazioniType of evaluation
We will decide during the course whether to have midterm exams. teacher profile teaching materials
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
Mutuazione: 20410449 GE410 - GEOMETRIA ALGEBRICA 1 in Matematica LM-40 LELLI CHIESA MARGHERITA, TURCHET AMOS
Programme
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.Core Documentation
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
Type of delivery of the course
Lezioni frontali e esercitazioniType of evaluation
We will decide during the course whether to have midterm exams. teacher profile teaching materials
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
Mutuazione: 20410449 GE410 - GEOMETRIA ALGEBRICA 1 in Matematica LM-40 LELLI CHIESA MARGHERITA, TURCHET AMOS
Programme
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.Core Documentation
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
Type of delivery of the course
Lezioni frontali e esercitazioniType of evaluation
We will decide during the course whether to have midterm exams. teacher profile teaching materials
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
Mutuazione: 20410449 GE410 - GEOMETRIA ALGEBRICA 1 in Matematica LM-40 LELLI CHIESA MARGHERITA, TURCHET AMOS
Programme
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.Core Documentation
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
Type of delivery of the course
Lezioni frontali e esercitazioniType of evaluation
We will decide during the course whether to have midterm exams. teacher profile teaching materials
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
Mutuazione: 20410449 GE410 - GEOMETRIA ALGEBRICA 1 in Matematica LM-40 LELLI CHIESA MARGHERITA, TURCHET AMOS
Programme
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.Core Documentation
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
Type of delivery of the course
Lezioni frontali e esercitazioniType of evaluation
We will decide during the course whether to have midterm exams.