INTEGRAL CLOSURES IN REAL ALGEBRAIC GEOMETRY

Jean-Philippe Monnier; Goulwen Fichou; Ronan Quarez

INTEGRAL CLOSURES IN REAL ALGEBRAIC GEOMETRY

Jean-Philippe Monnier ¹ Goulwen Fichou ² Ronan Quarez ²

1 LAREMA - Laboratoire Angevin de REcherche en MAthématiques

2 IRMAR - Institut de Recherche Mathématique de Rennes

Abstract : We study the algebraic and geometric properties of the integral closure of different rings of functions on a real algebraic variety : the regular functions and the continuous rational functions.

Keywords : regular functions real algebraic geometry continuous rational functions normalization and phrases real algebraic geometry

Document type :

Preprints, Working Papers, ...

Domain :

Mathematics [math] / Algebraic Geometry [math.AG]

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01894175
Contributor : Ronan Quarez <>
Submitted on : Wednesday, December 19, 2018 - 10:55:48 AM
Last modification on : Tuesday, January 29, 2019 - 5:02:58 PM
Document(s) archivé(s) le : Wednesday, March 20, 2019 - 3:46:12 PM

NormBireg.pdf

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INTEGRAL CLOSURES IN REAL ALGEBRAIC GEOMETRY

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