4 papers
Maximality and configuration spaces on real algebraic curves
Aloïs Demory
Let C be a non-singular real algebraic curve of genus g. The real structure on C induces a real structure on the configuration space of n distinct unlabeled points on C. We prove t…
Non-existence of separating morphisms of low degree
Aloïs Demory, Gurvan Mével, Antoine Toussaint
A separating curve is a real curve whose real part disconnects its complex part. It also admits totally real morphisms to the projective line, and the separating gonality is the mi…
Real critical points of -polynomials that are sums of squared monomials and topology of -hypersurfaces
Aloïs Demory
We study the topology of the real algebraic hypersurfaces in that can be constructed via combinatorial patchworking using triangulations that are dilations by two of…
Four families of maximal real algebraic hypersurfaces in
Aloïs Demory
In this paper, we present four families of maximal real algebraic hypersurfaces of even degree in constructed using O. Viro's combinatorial patchworking method. We…