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- Ilia Itenberg, Viatcheslav Kharlamov
- 2003

In contrast to spectacular achievements in complex enumerative geometry, real enumerative geometry remained in its almost embryonic state, with Sottileâ€™s [14] and EremenkoGabrielovâ€™s [3] results onâ€¦ (More)

The survey gives an overview of the achievements in topology of real algebraic varieties in the direction initiated in the early 70th by V. I. Arnold and V. A. Rokhlin. We make an attempt toâ€¦ (More)

- Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin
- 2008

The Welschinger numbers, a kind of a real analog of the Gromov-Witten numbers which count the complex rational curves through a given generic collection of points, bound from below the number of realâ€¦ (More)

- A. G. Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov
- 2007

We study real elliptic surfaces and trigonal curves (over a base of an arbitrary genus) and their equivariant deformations. We calculate the real TateShafarevich group and reduce the deformationâ€¦ (More)

- A. S. Selivanov, M. K. Naraeva, +5 authors Ya. Ya. Miroshnichenko
- Nature
- 1989

THE aim of the Thermoscan experiment on the Phobos spacecraft is the further study of the thermal properties of the surface of Mars that was begun by the Soviet Mars spacecraft and the Mariner andâ€¦ (More)

We construct several rigid (i.e., unique in their deformation class) surfaces which have particular behavior with respect to real structures: in one example the surface has no any real structure, inâ€¦ (More)

- A. G. Degtyarev, ILIA ITENBERG, Viatcheslav Kharlamov
- 2004

We compare the smooth and deformation equivalence of actions of finite groups on K 3-surfaces by holomorphic and antiholomorphic transformations. We prove that the number of deformation classes isâ€¦ (More)

We show that real rational (over C) surfaces are quasi-simple, i.e., that such a surface is determined up to deformation in the class of real surfaces by the topological type of its real structure.

- Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin
- 2009

We define a series of relative tropical Welschinger-type invariants of real toric surfaces. In the Del Pezzo case, these invariants can be seen as real tropical analogs of relative Gromov-Wittenâ€¦ (More)

- Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin
- 2005

We show that the genus zero Gromov-Witten invariants of the plane Pk blown up at k points satisfy the following asymptotic relation lim nâ†’+âˆž log GWnD(P 2 k) n log n = D Â· c1(P 2 k) , for any D âˆˆ H2(Pâ€¦ (More)