Weak and semi normalization in real algebraic geometry

DOI10.2422/2036-2145.201911_010zbMath1483.14104arXiv1706.04467OpenAlexW3160625551MaRDI QIDQ5161620

Ronan Quarez, Goulwen Fichou, Jean-Philippe Monnier

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04467

zbMATH Keywords

real algebraic setseminormalizationcontinuous rational functionhereditarily rational functionweak-normalization

Mathematics Subject Classification ID

Real algebraic sets (14P05) Integral closure of commutative rings and ideals (13B22)

Related Items

Approximation and homotopy in regulous geometry, Central algebraic geometry and seminormality, A notion of seminormalization for real algebraic varieties

Cites Work

• Regulous functions
• Continuous functions on the plane regular after one blowing-up
• Variants of normality for Noetherian schemes
• Curve-rational functions
• On normalization of Nash varieties
• Semi-algebraic geometry with rational continuous functions
• Stratified-algebraic vector bundles
• Continuous rational functions on real and \(p\)-adic varieties
• Weak normality and seminormality
• Seminormal rings and weakly normal varieties
• Rational maps in real algebraic geometry
• Some Analogues of Hartogs' Theorem in an Algebraic Setting
• On the Geometric Interpretation of Seminormality
• Introduction
• Integral closures in real algebraic geometry
• On seminormality
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