Introductory Notes on Valuation Rings and Function Fields in One Variable

• Κύριοι συγγραφείς: Scognamillo, Renata (Συγγραφέας), Zannier, Umberto (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014.
• Σειρά: Publications of the Scuola Normale Superiore ; 14
• Θέματα: 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...

Πίνακας περιεχομένων:

• Generalities on function fields of one variable
• Valuation rings
• Completions
• Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains.