Integral Closures In Real Algebraic Geometry

2018/10/16 by Jean-Philippe Monnier, Monnier, Jean-Philippe, Goulwen Fichou +3
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1810.07556

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.

Related

• The Geometry of Locally Bounded Rational Functions
• Semi-algebraic geometry with rational continuous functions
• Substitution Property for the Ring of Continuous Rational Functions
• Continuous rational functions on real and p-adic varieties
• The Theory of the Entire Algebraic Functions