2 papers
math.AG2023
Real phase structures on tropical manifolds and patchworks in higher codimension
Johannes Rau, Arthur Renaudineau, Kris Shaw
This paper generalises the homeomorphism theorem behind Viro's combinatorial patchworking of hypersurfaces in toric varieties to arbitrary codimension using tropical geometry. We f…
math.AG2014
A real sextic surface with 45 handles
Arthur Renaudineau
It follows from classical restrictions on the topology of real algebraic varieties that the first Betti number of the real part of a real nonsingular sextic in can…