Introduction to Plane Algebraic Curves

Ernst Kunz

294 pages, parution le 30/04/2005

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Résumé

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 topics in commutative algebra together with their applications to algebraic geometry makes this book significantly different from others on plane algebraic curves. The exposition focuses on the purely algebraic aspects of plane curve theory, leaving the topological and analytical viewpoints in the background, with only casual references to these subjects and suggestions for further reading.

Most important to this text:

Emphasizes and utilizes the theory of filtered algebras, their graduated rings and Rees algebras, to deduce basic facts about the intersection theory of plane curves
Presents residue theory in the affine plane and its applications to intersection theory
Methods of proof for the Riemann-Roch theorem conform to the presentation of curve theory, formulated in the language of filtrations and associated graded rings
Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook

Written for:

Graduate students, advanced undergraduates

Sommaire

Preface
Conventions and Notation
Plane Algebraic Curves
Algebraic Foundations
List of Symbols
References
Index

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	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Ernst Kunz
Parution	30/04/2005
Nb. de pages	294
Format	15,5 x 23,5
Couverture	Broché
Poids	445g
Intérieur	Noir et Blanc
EAN13	9780817643812
ISBN13	978-0-8176-4381-2