16 citations · 32 across the 10 of their papers we have counts for
5 papers · 2 filters
New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants
Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin
We consider the product of two projective lines equipped with the complex conjugation transforming into and blown up in at most two real, or two complex…
On deformation types of real elliptic surfaces
Alex Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov
We study real elliptic surfaces and trigonal curves (over a base of an arbitrary genus) and their equivariant deformations. We calculate the real Tate-Shafarevich group and reduce…
A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin
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…
Deformation Classes of Real Four-dimensional Cubic Hypersurfaces
S. Finashin, V. Kharlamov
We study real nonsingular projective cubic fourfolds up to deformation equivalence combined with projective equivalence and prove that they are classified by the conjugacy classes…
Deformation Finiteness for Real Hyperkahler Manifolds
Alex Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov
We show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkahler manifolds is finite.