81 citations · 294 across the 37 of their papers we have counts for
43 papers
On wall-crossing invariant combinations of Welschinger numbers for rational surfaces with a conic bundle
Sergey Finashin, Viatcheslav Kharlamov
We refine the real enumerative invariants insensitive to changes in the real structure introduced in our previous paper on del Pezzo surfaces, and extend these refined invariants t…
The real Mordell-Weil group of rational elliptic surfaces and real lines on del Pezzo surfaces of degree
Sergey Finashin, Viatcheslav Kharlamov
We undertake a study of topological properties of the real Mordell-Weil group of real rational elliptic surfaces which we accompany by a related…
On Affine Real Cubic Surfaces
Sergey Finashin, Viatcheslav Kharlamov
We prove that the space of affine, transversal at infinity, non-singular real cubic surfaces has 15 connected components. We give a topological criterion to distinguish them and sh…
On wall-crossing invariance of certain sums of Welschinger numbers
Sergey Finashin, Viatcheslav Kharlamov
We continue our quest for real enumerative invariants not sensitive to changing the real structure and extend the construction we uncovered previously for counting curves of anti-c…
Combined count of real rational curves of canonical degree 2 on real del Pezzo surfaces with
Sergey Finashin, Viatcheslav Kharlamov
We propose two systems of "intrinsic" signs for counting such curves. In both cases the result acquires an exceptionally strong invariance property: it does not depend on the choic…
Two kinds of real lines on real del Pezzo surfaces of degree 1
Sergey Finashin, Viatcheslav Kharlamov
We show how the real lines on a real del Pezzo surface of degree 1 can be split into two species, elliptic and hyperbolic, via a certain distinguished, intrinsically defined, Pin-s…