8 citations · 31 across the 21 of their papers we have counts for
24 papers
Real radiciality and monoreal extensions
Goulwen Fichou, Jean-Philippe Monnier, Ronan Quarez
We study irreducible polynomials admitting a single real root in any real closed field extension of the base field, called monoreal polynomials. We show some stability properties s…
The Geometry of Locally Bounded Rational Functions
Victor Delage, Goulwen Fichou, Aftab Patel
This paper develops the geometry of locally bounded rational functions on non-singular real algebraic varieties. First various basic geometric and algebraic results regarding these…
On central orderings
Goulwen Fichou, Jean-Philippe Monnier, Ronan Quarez
We define the notion of central orderings for a general commutative ring which generalizes the notion of central points of irreducible real algebraic varieties. We study a cent…
Algebraic characterizations of homeomorphisms between algebraic varieties
François Bernard, Goulwen Fichou, Jean-Philippe Monnier +1
We address the question of finding algebraic properties that are respectively equivalent, for a morphism between algebraic varieties over an algebraically closed field of character…
Motivic, logarithmic, and topological Milnor fibrations
Jean-Baptiste Campesato, Goulwen Fichou, Adam Parusinski
We compare the topological Milnor fibration and the motivic Milnor fibre of a regular complex function with only normal crossing singularities by introducing their common extension…
Integral Closures In Real Algebraic Geometry
Jean-Philippe Monnier, Goulwen Fichou, Ronan Quarez
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 ratio…