31 citations · 75 across the 31 of their papers we have counts for
34 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…
Recognising conjugacy classes of Dehn twists on via Dynnikov coordinates
Ferihe Atalan, Sergey Finashin
We describe in terms of Dynnikov coordinates the three orbits of the pure mapping class group action on the set of essential curves in a 3-punctured disc . For any ess…
Monodromy factorizations of lines on del Pezzo surfaces
Mohan Bhupal, Sergey Finashin
We give a list of monodromy factorizations in the pure mapping class group of a torus with d+1 marked points that represent lines on a del Pezzo surface Y of degree…
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…