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20022005
most citedAppendix to "Welschinger invariant and enumeration of real rational curves"

11 citations · 15 across the 5 of their papers we have counts for

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math.AG2005

Overview of topological properties of real algebraic surfaces

V. Kharlamov

These notes reproduce the content of a short, 50-minutes, survey talk given at the Nice University in September, 2004. We added a few topics that have not been touched on in the le…

math.AG200311 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.AG20034 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…

math.AG2002

Finiteness and Quasi-Simplicity for Symmetric K3-Surfaces

A. Degtyarev, I. Itenberg, V. Kharlamov

We compare the smooth and deformation equivalence of actions of finite groups on K3-surfaces by holomorphic and anti-holomorphic transformations. We prove that the number of deform…