Algebraic Curves

Serguei A. Stepanov
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Serguei A. Stepanov: Bilkent University

Chapter Chapter 4 in Codes on Algebraic Curves, 1999, pp 71-101 from Springer

Abstract: Abstract This chapter contains the basic definitions and results of the theory of algebraic curves: valuations, divisors, the genus of a curve, finite morphisms, linear systems, Jacobians, differential forms and their residues, the Riemann—Roch theorem, Hurwitz and Plücker genus formulas, special divisors and Weierstrass points. We do not consider here the arithmetical properties of curves and for that reason the ground fieldkis assumed to be algebraically closed.

Keywords: Abelian Variety; Algebraic Curf; Weierstrass Point; Divisor Class; Discrete Valuation Ring (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4615-4785-3_4

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