Introduction to Plane Algebraic Curves

Released on by Ernst Kunz
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  • Introduction to Plane Algebraic Curves Book Detail

  • Author : Ernst Kunz
  • Release Date : 2007-06-10
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 285
  • ISBN 13 : 0817644431
  • File Size : 86,86 MB
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Introduction to Plane Algebraic Curves by Ernst Kunz PDF Summary

Book 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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Plane Algebraic Curves is a classroom-tested textbook for advanced undergraduate and beginning graduate students in mathematics. The book introduces the contemp