53 citations · 136 across the 20 of their papers we have counts for
21 papers
Combinatorial patchworking: back from tropical geometry
Erwan Brugallé, Lucía López de Medrano, Johannes Rau
We show that, once translated to the dual setting of convex triangulations of lattice polytopes, results and methods from previous tropical works by Arnal-Renaudineau-Shaw, Renaudi…
Maximality of moduli spaces of vector bundles on curves
Erwan Brugallé, Florent Schaffhauser
We prove that moduli spaces of semistable vector bundles of coprime rank and degree over a non-singular real projective curve are maximal real algebraic varieties if and only if th…
Euler characteristic and signature of real semi-stable degenerations
Erwan Brugallé
We give a motivic proof of the fact that for non-singular real tropical complete intersections, the Euler characteristic of the real part is equal to the signature of the complex p…
Polynomiality properties of tropical refined invariants
Erwan Brugallé, Andrés Jaramillo Puentes
Tropical refined invariants of toric surfaces constitute a fascinating interpolation between real and complex enumerative geometries via tropical geometry. They were originally int…
On the invariance of Welschinger invariants
Erwan Brugallé
We collect in this note some observations about original Welschinger invariants of real symplectic fourfolds. None of their proofs is difficult, nevertheless these remarks do not s…
Planar Tropical Cubic Curves of Any Genus, and Higher Dimensional Generalisations
Benoît Bertrand, Erwan Brugallé, Lucía López de Medrano
We study the maximal values of Betti numbers of tropical subvarieties of a given dimension and degree in . We provide a lower estimate for the maximal value of the t…