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math.AG2007
A Non-Algebraic Patchwork
Benoit Bertrand, Erwan Brugalle
Itenberg and Shustin's pseudoholomorphic curve patchworking is in principle more flexible than Viro's original algebraic one. It was natural to wonder if the former method allows o…
math.AG2004
Real plane algebraic curves with asymptotically maximal number of even ovals
Erwan brugalle
It is known for a long time that a nonsingular real algebraic curve of degree 2k in the projective plane cannot have more than 7/2*k^2-9/4*k+3/2$ even ovals. We show here that this…