Introductory Notes on Valuation Rings and Function Fields in One Variable

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Introductory Notes on Valuation Rings and Function Fields in One Variable

フォーマット:

電子ブック

責任表示:

by Renata Scognamillo, Umberto Zannier

言語:

英語

出版情報:

Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014

形態:

VIII, 119 p : online resource

著者名:

シリーズ名:

Publications of the Scuola Normale Superiore ; 14

目次情報:

Generalities on function fields of one variable
Valuation rings
Completions
Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains

書誌ID:

IT00007711

ISBN:

9788876425011 [8876425012]

9788876425004 [8876425004]

子書誌情報

オンライン

http://dx.doi.org/10.1007/978-88-7642-501-1

所蔵情報

タイトルが類似している資料

詳細

主題:	Algebra; Geometry; Mathematics; Number Theory
分類・件名:	DC23 : 512 LCSH : Mathematics LCSH : Algebra LCSH : Geometry LCSH : Number theory FREE : Mathematics FREE : Algebra FREE : Geometry FREE : Number Theory
注記:	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
TTLL:	eng

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