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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]

Material type
E-Book(소장)
Personal Author
Scognamillo, Renata. Zannier, U. (Umberto), 1957-.
Title Statement
Introductory notes on valuation rings and function fields in one variable [electronic resource] / Renata Scognamillo and Umberto Zannier.
Publication, Distribution, etc
Pisa :   Scuola Normale Superiore :   Imprint: Edizioni della Normale,   2014.  
Physical Medium
1 online resource (viii, 119 p.).
Series Statement
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.
General Note
Title from e-Book title page.  
Content Notes
Generalities on function fields of one variable -- Valuation rings -- Completions -- Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Geometry, Algebraic. Valuation theory. Function algebras.
Short cut
URL
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020 ▼a 9788876425011
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082 0 4 ▼a 512.35 ▼2 23
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090 ▼a 512.35
100 1 ▼a Scognamillo, Renata.
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)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.35 Accession No. E14035566 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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