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math.AG2013
On maximally inflected hyperbolic curves
Aubin Arroyo, Erwan Brugallé, Lucia López de Medrano
In this note we study the distribution of real inflection points among the ovals of a real non-singular hyperbolic curve of even degree. Using Hilbert's method we show that for any…
math.AG2008
Recursive formulas for Welschinger invariants of the projective plane
Aubin Arroyo, Erwan Brugalle, Lucia Lopez de Medrano
Welschinger invariants of the real projective plane can be computed via the enumeration of enriched graphs, called marked floor diagrams. By a purely combinatorial study of these o…