2 papers
math.AG2021
Patchworking the Log-critical locus of planar curves
Lionel Lang, Arthur Renaudineau
We establish a patchworking theorem à la Viro for the Log-critical locus of algebraic curves in . As an application, we prove the existence of projective curves o…
math.AG2018
Bounding the Betti numbers of real hypersurfaces near the tropical limit
Arthur Renaudineau, Kristin Shaw
We prove a bound conjectured by Itenberg on the Betti numbers of real algebraic hypersurfaces near non-singular tropical limits. These bounds are given in terms of the Hodge number…