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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…
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…
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…