GEOMETRIA ALGEBRICA II
Academic year and teacher
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- Versione italiana
- Academic year
- 2020/2021
- Teacher
- ALBERTO CALABRI
- Credits
- 6
- Didactic period
- Secondo Semestre
- SSD
- MAT/03
Training objectives
- Study singular points of complex plane algebraic curves and how to resolve them.
Prerequisites
- Algebraic geometry I.
Course programme
- Recalls about algebraic curves in the complex projective plane (4 hours).
Puiseux' Theorem (10 hours).
Resolution of singular plane curves (12 hours).
Contact of two branches (10 hours).
The Alexander polynomial (6 hours). Didactic methods
- Frontal lessons.
Learning assessment procedures
- Oral exam on the topics covered in class.
Reference texts
- C.T.C. Wall, Singular Points of Plane Curves, London Mathematical Society Student Texts, 63. Cambridge University Press, Cambridge, 2004.
F. Kirwan, Complex Algebraic Curves, London Mathematical Society Student Texts 23, Cambridge University Press 1992.