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 2024
- Offered
- 2025/26
- 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
- Plane algebraic curves, introduction to algebraic varieties.
- 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
- Polynomial ring, Resultants. Plane algebraic curves: intersection numbers, singularities, principal tangents. Bézout's Theorem. Field of Rational Functions. DVR (Discrete Valuation Ring). Branches of curves.
- Obiettivi Agenda 2030 per lo sviluppo sostenibile
- 4