2 papers
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…
math.GT2004
Symmetric plane curves of degree 7 : pseudo-holomorphic and algebraic classifications
Erwan Brugalle
This paper is motivated by the real symplectic isotopy problem : does there exists a nonsingular real pseudoholomorphic curve not isotopic in the projective plane to any real algeb…