INTEGRAL CLOSURES IN REAL ALGEBRAIC GEOMETRY

Goulwen Fichou (1) , Ronan Quarez (1) , Jean-Philippe Monnier (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

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.

Mots clés: regular functions; normalization; continuous rational functions; real algebraic geometry

Domaines: Géométrie algébrique [math.AG]

Goulwen Fichou, Ronan Quarez, Jean-Philippe Monnier. INTEGRAL CLOSURES IN REAL ALGEBRAIC GEOMETRY. 2018. ⟨hal-01894175v1⟩