61 citations · 105 across the 11 of their papers we have counts for
20 papers
Real algebraic curves with large finite number of real points
Erwan Brugallé, Alex Degtyarev, Ilia Itenberg +1
We address the problem of the maximal finite number of real points of a real algebraic curve (of a given degree and, sometimes, genus) in the projective plane. We improve the known…
Pencils of quadrics and Gromov-Witten-Welschinger invariants of
Erwan Brugalle, Penka Georgieva
We establish a formula for the Gromov-Witten-Welschinger invariants of with mixed real and conjugate point constraints. The method is based on a suggestion by J. Kol…
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial
Federico Ardila, Erwan Brugalle
We define the double Gromov-Witten invariants of Hirzebruch surfaces in analogy with double Hurwitz numbers, and we prove that they satisfy a piecewise polynomiality property analo…
Pseudoholomorphic simple Harnack curves
Erwan Brugalle
We give a new proof of Mikhalkin's Theorem on the topological classification of simple Harnack curves, which in particular extends Mikhalkin's result to real pseudoholomorphic curv…
On Welschinger invariants of symplectic 4-manifolds
Erwan Brugalle, Nicolas Puignau
We prove the vanishing of many Welschinger invariants of real symplectic -manifolds. In some particular instances, we also determine their sign and show that they are divisible…
Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces
Erwan Brugalle
We enumerate, via floor diagrams, complex and real curves in the projective plane blown up in points on a conic. As an application, we deduce Gromov-Witten and Welschinger inva…