Introductory Notes on Valuation Rings and Function Fields in One Variable Paperback / softback
by Renata Scognamillo, Umberto Zannier
Part of the Lecture Notes (Scuola Normale Superiore) series
Paperback / softback
Description
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.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:119 pages, VIII, 119 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:11/05/2015
- Category:
- ISBN:9788876425004
Other Formats
- PDF from £16.99
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:119 pages, VIII, 119 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:11/05/2015
- Category:
- ISBN:9788876425004