4 citations · 4 across the 2 of their papers we have counts for
4 papers
Haas' theorem revisited
Benoît Bertrand, Erwan Brugallé, Arthur Renaudineau
Haas' theorem describes all partchworkings of a given non-singular plane tropical curve giving rise to a maximal real algebraic curve. The space of such patchworkings is natura…
Real algebraic surfaces with many handles in
Arthur Renaudineau
In this text, we study Viro's conjecture and related problems for real algebraic surfaces in . We construct a counter-example to Viro's conjecture in tridegree $…
A tropical construction of a family of real reducible curves
Arthur Renaudineau
We give a constructive proof using tropical modifications of the existence of a family of real algebraic plane curves with asymptotically maximal numbers of even ovals.
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…