3 papers
math.AG2026
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…
math.AG2024
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…
math.AG2024
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…