Places, cuts and orderings of function fields

DOI10.1016/j.jalgebra.2016.08.027zbMath1347.12004arXiv1601.07407OpenAlexW2515970929MaRDI QIDQ324227

Katarzyna Kuhlmann, Przemysław Koprowski

Publication date: 10 October 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07407

zbMATH Keywords

real algebraic curvespace of orderings\(\mathbb{R}\)-placesalgebraic function fieldspace of cuts

Mathematics Subject Classification ID

Topology of real algebraic varieties (14P25) Ordered fields (12J15) Algebraic functions and function fields in algebraic geometry (14H05) Valued fields (12J10)

Related Items (2)

Density of composite places in function fields and applications to real holomorphy rings ⋮ Selected methods for the classification of cuts, and their applications

Cites Work

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• Lectures on formally real fields
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• On the extension of real places
• On the dimension of the space of \(\mathbb R\)-places of certain rational function fields
• Metrizability of Spaces of ℝ-places of Function Fields of Transcendence Degree 1 Over Real Closed Fields
• Extension of an order to a simple transcendental extension
• On algebraic curves over real closed fields. II
• Isomorphism criteria for Witt rings of real fields

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