3 papers
math.AG2026
Poincaré Duality, Degeneracy, and Real Lefschetz Property for T-Hypersurfaces
Jules Chenal
In this article, we present two structural results about the Renaudineau-Shaw spectral sequence that computes the cohomology of T-hypersurfaces. The first is a Poincaré duality sa…
math.AT2026
Polar Coordinates and Fundamental Group
Jules Chenal
In this article, we investigate the relationship between the fundamental group of a space and its continuous transformations. To be more precise, we show that if a continuous actio…
math.AG2025
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…