Applications to the Theory of Algebraic Curves

Harold M. Edwards
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Harold M. Edwards: New York University, Courant Institute of Mathematical Sciences

Chapter Part 3 in Divisor Theory, 1990, pp 85-136 from Springer

Abstract: Abstract Let Q[x] denote the ring of polynomials in an indeterminate x with coefficients in the field Q of rational numbers. An algebraic function field in one variable over Q is an extension of Q[x] of finite degree. For short, such fields will be called function fields. Note that function fields are to Q[x] what algebraic number fields are to Z. Since Q[x] is a natural ring (§1.2), divisor theory applies* to function fields.

Keywords: Function Field; Algebraic Curve; Great Common Divisor; Irreducible Polynomial; Natural Ring (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-0-8176-4977-7_4

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