Introductory Notes on Valuation Rings and Function Fields in One Variable

DOI10.1007/978-88-7642-501-1zbMath1330.13001OpenAlexW896548153MaRDI QIDQ5419045

Umberto Zannier, Renata Scognamillo

Publication date: 4 June 2014

Full work available at URL: https://doi.org/10.1007/978-88-7642-501-1

zbMATH Keywords

placesfunction fieldRiemann surfacealgebraic varietiesPuiseux seriesdiscrete valuation ringvaluation ringalgebraic functionsregular functionsHilbert's NullstellensatzKrull

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra (13-01) Algebraic functions and function fields in algebraic geometry (14H05)

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