Introductory notes on valuation rings and function fields in one variable /
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| Author / Creator: | Scognamillo, Renata, author. |
|---|---|
| Imprint: | Pisa : Edizioni della Normale, 2014. |
| Description: | 1 online resource (viii, 119 pages). |
| Language: | English |
| Series: | Appunti ; 14 Appunti ; 14. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11086207 |
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| 100 | 1 | |a Scognamillo, Renata, |e author. |0 http://id.loc.gov/authorities/names/no2016110093 |1 http://viaf.org/viaf/311282069 | |
| 245 | 1 | 0 | |a Introductory notes on valuation rings and function fields in one variable / |c Renata Scognamillo and Umberto Zannier. |
| 264 | 1 | |a Pisa : |b Edizioni della Normale, |c 2014. | |
| 300 | |a 1 online resource (viii, 119 pages). | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
| 338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
| 490 | 1 | |a Appunti ; |v 14 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed July 14, 2014). | |
| 505 | 0 | |a Generalities on function fields of one variable -- Valuation rings -- Completions -- Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Geometry, Algebraic. |0 http://id.loc.gov/authorities/subjects/sh85054140 | |
| 650 | 0 | |a Valuation theory. |0 http://id.loc.gov/authorities/subjects/sh85141929 | |
| 650 | 0 | |a Function algebras. |0 http://id.loc.gov/authorities/subjects/sh85052307 | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Geometry. |
| 650 | 2 | 4 | |a Number Theory. |
| 650 | 7 | |a Function algebras. |2 fast |0 (OCoLC)fst00936054 | |
| 650 | 7 | |a Geometry, Algebraic. |2 fast |0 (OCoLC)fst00940902 | |
| 650 | 7 | |a Valuation theory. |2 fast |0 (OCoLC)fst01163872 | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Zannier, U. |q (Umberto), |d 1957- |e author. |0 http://id.loc.gov/authorities/names/n2003011654 |1 http://viaf.org/viaf/46998676 | |
| 776 | 0 | 8 | |i Printed edition: |z 9788876425004 |
| 830 | 0 | |a Appunti ; |v 14. | |
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