Central algebraic geometry and seminormality

DOI10.4171/rsmup/124arXiv2103.09610OpenAlexW3136432586MaRDI QIDQ6082487

Jean-Philippe Monnier

Publication date: 6 November 2023

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.09610

zbMATH Keywords

seminormalizationnormalizationreal algebraic geometrycontinuous rational functionsregulous functions

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Real algebraic and real-analytic geometry (14P99) Real rational functions (26C15)

Cites Work

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• Regulous functions
• Continuous functions on the plane regular after one blowing-up
• Variants of normality for Noetherian schemes
• Curve-rational functions
• Semi-algebraic geometry with rational continuous functions
• Stratified-algebraic vector bundles
• Continuous rational functions on real and \(p\)-adic varieties
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• Weak normality and seminormality
• Seminormal rings and weakly normal varieties
• Corrections to “Seminormal rings and weakly normal varieties”
• Introduction
• Weak and semi normalization in real algebraic geometry
• Integral closures in real algebraic geometry
• On seminormality

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