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Journal of Algebraic Geometry
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Integral closures in real algebraic geometry

Authors: Fichou, Goulwen; Monnier, Jean-Philippe; Quarez, Ronan;

Integral closures in real algebraic geometry

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.

Country
France
Keywords

[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Integral closure of commutative rings and ideals, regular functions, 510, continuous rational functions, Real algebraic sets, Mathematics - Algebraic Geometry, normalization, and phrases real algebraic geometry, FOS: Mathematics, real algebraic geometry, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], Algebraic Geometry (math.AG)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
hybrid