Introduction to Plane Algebraic Curves
This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed. Kunz's proven conception of teaching t...
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| Autor principal: | |
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| Altres autors: | |
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Col·lecció: | Mathematics and Statistics (Springer; 11649-ZDB-2-SMA)
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| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Trad. de : "Ebene algebraische Kurven" Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to plane algebraic curves, Ernst Kunz, 2005, Boston, Birkhäuser, 1 volume (xii-293 pages), 0-8176-4381-8 |
Taula de continguts:
- Plane Algebraic Curves
- Ane Algebraic Curves
- Projective Algebraic Curves
- The Coordinate Ring of an Algebraic Curve and the Intersections of Two Curves
- Rational Functions on Algebraic Curves
- Intersection Multiplicity and Intersection Cycle of Two Curves
- Regular and Singular Points of Algebraic Curves. Tangents
- More on Intersection Theory. Applications
- Rational Maps. Parametric Representations of Curves
- Polars and Hessians of Algebraic Curves
- Elliptic Curves
- Residue Calculus
- Applications of Residue Theory to Curves
- The Riemann-Roch Theorem
- The Genus of an Algebraic Curve and of Its Function Field
- The Canonical Divisor Class
- The Branches of a Curve Singularity
- Conductor and Value Semigroup of a Curve Singularity