Introductory Notes on Valuation Rings and Function Fields in One Variable

• Main Authors: Scognamillo, Renata (Author), Zannier, Umberto (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014.
• Series: Publications of the Scuola Normale Superiore ; 14
• Subjects: Mathematics.; Algebra.; Geometry.; Number theory.; Number Theory.

The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory of algebraic curves and their function fields. The correspondences of this with...