Titlebook: Topics in the Theory of Algebraic Function Fields; Gabriel Daniel Villa Salvador Textbook 2006 Birkhäuser Boston 2006 Complex analysis.Rie

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https://doi.org/10.1007/0-8176-4515-2Complex analysis; Riemann surfaces; Riemann-Roch theorem; cryptography; number theory

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Algebraic and Numerical Antecedents,In this introductory chapter we present three topics. The first one is the basic theory of transcendental fields, which is needed due to the fact that any function field is a finitely generated transcendental extension of a given field.

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Examples,In this chapter we present examples that illustrate how one can apply our results of Chapters 2 and 3. We shall first recall a few facts about rational function fields and characterize fields of genus 0.

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Extensions and Galois Theory,This chapter is about the Galois theory of function fields.Many of the results presented here are of a general nature, but our interest and emphasis will be focused on function fields.

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