Weak and semi normalization in real algebraic geometry

2017/06/14 by Goulwen Fichou, Fichou, Goulwen, Jean-Philippe Monnier +3
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1706.04467

openalex publication_date 2017/06/14 · openalex created_date 2017/06/23 · openalex updated_date 2026/07/28

Abstract

We define the weak-normalization and the seminormalization of a real\nalgebraic variety relative to its central locus. The study is related to the\nproperties of the rings of continuous rational functions and hereditarily\nrational functions on real algebraic varieties. We provide in particular\nseveral characterizations (algebraic or geometric) of these varieties, and\nprovide a full description of centrally seminormal curves.\n

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