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INTRODUCTION TO PLANE ALGEBRAIC CURVES IBD

BIRKHäUSER
08 / 2005
9780817643812
Inglés

Sinopsis

* Employs proven conception of teaching topics in commutative algebra through a focus onátheir applications to algebraic geometry, aásignificant departure from other worksáon plane algebraic curves in whicháthe topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic factsácollected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook

PVP
103,07