Abstract
Let L/K be an algebraic function field with Trdeg(L/K) = 1. The set X of all discrete valuation rings R with K ⊂ R and Q(R) = L is called the “non-singular model” of L/K, or the “abstract Riemann surface” of L/K. It is well-known that X together with L is also the set of local rings of a non-singular projective algebraic curve defined over K.
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© 1986 Springer Fachmedien Wiesbaden
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Kunz, E. (1986). Residues in Algebraic Function Fields of One Variable. In: Kähler Differentials. Advanced Lectures in Mathematics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14074-0_17
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DOI: https://doi.org/10.1007/978-3-663-14074-0_17
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08973-3
Online ISBN: 978-3-663-14074-0
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