Unit GEOMETRY III

Course
Mathematics
Study-unit Code
55256509
Curriculum
In all curricula
Teacher
Daniele Bartoli
Teachers
  • Daniele Bartoli
Hours
  • 73 ore - Daniele Bartoli
CFU
9
Course Regulation
Coorte 2022
Offered
2023/24
Learning activities
Caratterizzante
Area
Formazione teorica
Academic discipline
MAT/03
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents
Projective geometry. Plane algebraic curves.
Reference texts
E. Sernesi, Geometria 1, Bollati-Boringhieri, 2000.

M.C. Beltrametti, E. Carletti, G. Monti Bragadin, D. Gallarati, Lezioni di geometria analitica e proiettiva, Bollati-Boringhieri, 2002.

C. G. Gibson, Elementary Geometry of Algebraic Curves, An Undergraduate Introduction, Cambridge University Press,1998.

E. Fortuna, R. Frigerio, R. Pardini, Projective Geometry: Solved Problems and Theory Review, Springer 2016
Educational objectives
Basic knowledge of projective geometry and of classical notions og algebraic curves.

Development of capability to face topics in a rigorous way and of capabilty to expose mathematical subject either in ored to teach them or in order to

Exercises and questions should lead inside the definitions and results.

Development of solving-problem ability using the topics faced in the course.
Prerequisites
Linear algebra. Affine geometry.
Teaching methods
face-to-face
Other information
For further information, please contact the teacher
daniele.bartoli@unipg.it
Learning verification modality
The test consists of three parts
-TEST concerning definitions and statements
- WRITTEN TEST concerning the resolution of exercises
- ORAL EXAM on theoretical notions

The three tests must be done in the same appeal. Passing the TEST is necessary for the continuation of the exams.

For information on support services for students with disabilities and / or SLD visit http://www.unipg.it/disabilita-e-dsa
Extended program
Projective Geometry: projective space. Homogeneous coordinate system and projective frames. Projectivation of the affine plane. Real projective line and plane. Complex projective line. Projectivity. Dual projective space.
Bezout's Theorem.

Plane algebraic curves: singularities, tangents, intersection numbers.
Obiettivi Agenda 2030 per lo sviluppo sostenibile
4
Condividi su