Buch, Englisch, Band 14, 119 Seiten, Format (B × H): 151 mm x 241 mm, Gewicht: 280 g
Buch, Englisch, Band 14, 119 Seiten, Format (B × H): 151 mm x 241 mm, Gewicht: 280 g
Reihe: Publications of the Scuola Normale Superiore
ISBN: 978-88-7642-500-4
Verlag: Scuola Normale Superiore
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 other viewpoints (e.g. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results. Links with arithmetic are also often indicated. There are three appendices, concerning Hilbert’s Nullstellensatz (for which several proofs are provided), Puiseux series and Dedekind domains. There are also several exercises, often accompanied by hints, which sometimes develop further results not included in full for brevity reasons.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
Generalities on function fields of one variable.- Valuation rings.- Completions.- Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains.
