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math.AG2003★ 11 cited
Appendix to "Welschinger invariant and enumeration of real rational curves"
Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin
The invariance of the Welschinger numbers for real unnodal Del Pezzo surfaces, which we used for the enumeration of real rational curves on real toric Del Pezzo surfaces (see math.…
math.AG2003★ 4 cited
Welschinger invariant and enumeration of real plane rational curves
I. Itenberg, V. Kharlamov, E. Shustin
Welschinger's invariant bounds from below the number of real rational curves through a given generic collection of real points in the real projective plane. We estimate this invari…
math.AG2003
The number of trees half of whose vertices are leaves and asymptotic enumeration of plane real algebraic curves
V. Kharlamov, S. Orevkov
The number of topologically different plane real algebraic curves of a given degree has the form . We determine the best available upper bound for the con…