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math.AG2011
Enumeration of Real Conics and Maximal Configurations
Erwan Brugallé, Nicolas Puignau
We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in $\RP^n$ is maximal. That is, t…
math.AG2009
On the number of connected components of the parabolic curve
Benoit Bertrand, Erwan Brugallé
We construct a polynomial of degree d in two variables whose Hessian curve has (d-2)^2 connected components using Viro patchworking. In particular, this implies the existence of a…
math.AG2007★ 8 cited
Enumeration of curves via floor diagrams
Erwan Brugallé, Grigory Mikhalkin
In this note we compute some enumerative invariants of real and complex projective spaces by means of some enriched graphs called floor diagrams.