General information 
Course unit name: Algebraic Curves
Course unit code: 568188
Academic year: 20182019
Coordinator: Rosa Maria Miro Roig
Department: Department of Mathematics and Computer Science
Credits: 6
Single program: S
Estimated learning time 
Total number of hours 150 
Facetoface learning activities 
60 
 Lecture 
30 

 Lecture with practical component 
30 
Supervised project (Problemsolving exercises and preparation of assignments.) 
20 
Independent learning (Theory study, preparation of project presentations and the final exam.) 
70 
Recommendations 

Competences to be gained during study 

Learning objectives 
Referring to knowledge
Referring to abilities, skills

Teaching blocks 
1. Implicit equations of plane curves. Intersection of plane curves (Resultant)
2. Linear systems of curves
3. Parametrization of curves
4. Local study of curves
5. Bezout’s theorem and applications
6. Pücker formulas. Applications
7. Rational curves. Curves of small genus.
8. Varieties of higher dimension
Teaching methods and general organization 

Official assessment of learning outcomes 
Examinationbased assessment

Reading and study resources 
Consulteu la disponibilitat a CERCABIB
Book
Fisher, G. Plane algebraic curves. [Providence (R.I.)] : American Mathematical Society, 2001.
M. Reid, Undergraduate Algebraic Geometry, LMS Students Texts 12, Cambridge Univ. Press, 1988
R.J. Walker, Algebraic curves, SpringerVerlag, 1978
K. Hulek, Elementary Algebraic Geometry, Student Mathematical Library AMS
Volume: 20; 2003;
Web page
E. Arrondo, Curvas Algebraicas, Notas curso 2017.