Sections 3.1–3.4 survey the theory of functions of one variable; the Riemann-Roch Theorem; properties of holomorphy rings of function fields; and extensions of the field of constants.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Algebraic Function Fields of One Variable. In: Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77270-5_3
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DOI: https://doi.org/10.1007/978-3-540-77270-5_3
Publisher Name: Springer, Berlin, Heidelberg
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