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Introduction to Plane Algebraic Curves

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Introduction to Plane Algebraic Curves image
ISBN-10:

0817643818

ISBN-13:

9780817643812

Author(s): Kunz, Ernst
Edition: 2005
Released: Aug 15, 2005
Publisher: Birkhauser
Format: Paperback, 308 pages
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Description:

* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected 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

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