4 citations · 6 across the 6 of their papers we have counts for
7 papers
Real Toric Varieties: Interactions between their Geometry and their Topology
Jules Chenal, Matilde Manzaroli
In the present article, we investigate the topology of real toric varieties, especially those whose torus is not split over the field of real numbers. We describe some canonical fi…
Real plane separating (M-2)-curves of degree d and totally real pencils of degree d-3
Matilde Manzaroli
It is well known that a non-singular real plane projective curve of degree five with five connected components is separating if and only if its ovals are in non-convex position. In…
Betti numbers of real semistable degenerations via real logarithmic geometry
Emiliano Ambrosi, Matilde Manzaroli
Let be a totally real semistable degeneration over a smooth real curve with degenerate fiber . Assuming that the irreducible components of are simpl…
Obstructions for the existence of separating morphisms and totally real pencils
Matilde Manzaroli
It goes back to Ahlfors that a real algebraic curve admits a separating morphism to the complex projective line if and only if the real part of the curve disconnects its co…
Real-fibered morphisms of del Pezzo surfaces and conic bundles
Mario Kummer, Cédric Le Texier, Matilde Manzaroli
It goes back to Ahlfors that a real algebraic curve admits a real-fibered morphism to the projective line if and only if the real part of the curve disconnects its complex part. In…
Real algebraic curves on real del Pezzo surfaces
Matilde Manzaroli
The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein and Hilbert in the 19th century; in particular, the isotopy type classification of re…
Real algebraic curves of bidegree (5,5) on the quadric ellipsoid
Matilde Manzaroli
We complete the topological classification of real algebraic non-singular curves of bidegree on the quadric ellipsoid. We show in particular that previously known restrict…