| Description |
1 online resource (xii, 293 pages) : illustrations |
| Contents |
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 |
| Summary |
"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."--Jacket |
| Bibliography |
Includes bibliographical references (pages 285-287) and index |
| In |
Springer eBooks |
| Subject |
Curves, Plane.
|
|
Curves, Algebraic.
|
|
Singularities (Mathematics)
|
|
Mathematics.
|
|
Algebra.
|
|
Mathematics
|
|
algebra.
|
|
Curvas planas
|
|
Singularidades (Matemáticas)
|
|
Curves, Algebraic
|
|
Curves, Plane
|
|
Singularities (Mathematics)
|
| Form |
Electronic book
|
| ISBN |
0817643818 |
|
9780817643812 |
|
9780817644437 |
|
0817644431 |
|
1281335819 |
|
9781281335814 |
|
