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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2005.
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Edición: | 1st ed. 2005. |
Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.