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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
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https://hal.archives-ouvertes.fr/hal-01894175
Contributor : Ronan Quarez <>
Submitted on : Wednesday, December 19, 2018 - 10:55:48 AM
Last modification on : Monday, March 9, 2020 - 6:16:00 PM
Document(s) archivé(s) le : Wednesday, March 20, 2019 - 3:46:12 PM

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  • HAL Id : hal-01894175, version 2
  • ARXIV : 1810.07556

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CNRS | INSMI | UNAM | UNIV-RENNES1 | UNIV-ANGERS | CHL | UNIV-RENNES2 | UR2-HB | UNIV-RENNES | IRMAR | IRMAR-GS | INSA-GROUPE | LAREMA

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Jean-Philippe Monnier, Goulwen Fichou, Ronan Quarez. INTEGRAL CLOSURES IN REAL ALGEBRAIC GEOMETRY. 2018. ⟨hal-01894175v2⟩

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