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Introductory notes on valuation rings and function fields in one variable [electronic resource]

Introductory notes on valuation rings and function fields in one variable [electronic resource]

자료유형
E-Book(소장)
개인저자
Scognamillo, Renata. Zannier, U. (Umberto), 1957-.
서명 / 저자사항
Introductory notes on valuation rings and function fields in one variable [electronic resource] / Renata Scognamillo and Umberto Zannier.
발행사항
Pisa :   Scuola Normale Superiore :   Imprint: Edizioni della Normale,   2014.  
형태사항
1 online resource (viii, 119 p.).
총서사항
Publications of the scuola normale superiore ;14
ISBN
9788876425011
요약
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.
일반주기
Title from e-Book title page.  
내용주기
Generalities on function fields of one variable -- Valuation rings -- Completions -- Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Geometry, Algebraic. Valuation theory. Function algebras.
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245 1 0 ▼a Introductory notes on valuation rings and function fields in one variable ▼h [electronic resource] / ▼c Renata Scognamillo and Umberto Zannier.
260 ▼a Pisa : ▼b Scuola Normale Superiore : ▼b Imprint: Edizioni della Normale, ▼c 2014.
300 ▼a 1 online resource (viii, 119 p.).
336 ▼a text ▼b txt ▼2 rdacontent
337 ▼a computer ▼b c ▼2 rdamedia
338 ▼a online resource ▼b cr ▼2 rdacarrier
490 1 ▼a Publications of the scuola normale superiore ; ▼v 14
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Geometry, Algebraic.
650 0 ▼a Valuation theory.
650 0 ▼a Function algebras.
700 1 ▼a Zannier, U. ▼q (Umberto), ▼d 1957-.
830 0 ▼a Publications of the scuola normale superiore ; ▼v 14.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-88-7642-501-1
945 ▼a KLPA
991 ▼a E-Book(소장)

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