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You searched IISERK - Title: Acid atmospheric deposition and its effects on terrestrial ecosystems in the Netherlands [electronic resource] / the third and final phase (1991-1995) / edited by G.J. Heij and J.W. Erisman.
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Call Number
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512
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Author
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Scognamillo, Renata. author.
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Title
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Introductory Notes on Valuation Rings and Function Fields in One Variable [electronic resource] / by Renata Scognamillo, Umberto Zannier.
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Material Info.
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VIII, 119 p. online resource.
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Series
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Publications of the Scuola Normale Superiore ; 14
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Series
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Publications of the Scuola Normale Superiore ; 14
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Summary Note
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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.
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Notes
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Generalities on function fields of one variable -- Valuation rings -- Completions -- Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains.
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ISBN
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9788876425011
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Subject
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Mathematics.
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Subject
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Algebra.
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Subject
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Geometry.
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Subject
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Number theory.
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Subject
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Mathematics.
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Subject
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Algebra.
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Subject
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Geometry.
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Subject
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Number Theory.
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Added Entry
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Zannier, Umberto. author.
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Added Entry
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SpringerLink (Online service)
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Date
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Year, Month, Day:01806291
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