S. Finashin

collaborators

4 papers

math.GT2026

Recognising conjugacy classes of Dehn twists on $D_{3}$ 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 $D_{3}$ . For any ess…

math.AG2026

The real Mordell-Weil group of rational elliptic surfaces and real lines on del Pezzo surfaces of degree $K^{2} = 1$

Sergey Finashin, Viatcheslav Kharlamov

We undertake a study of topological properties of the real Mordell-Weil group $MW_{R}$ of real rational elliptic surfaces $X$ which we accompany by a related…

math.AG2026

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…

math.AG2025

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 $P M o d (T_{d + 1})$ of a torus with d+1 marked points that represent lines on a del Pezzo surface Y of degree…

Recognising conjugacy classes of Dehn twists on D3​ via Dynnikov coordinates

The real Mordell-Weil group of rational elliptic surfaces and real lines on del Pezzo surfaces of degree K2=1

On wall-crossing invariance of certain sums of Welschinger numbers

Monodromy factorizations of lines on del Pezzo surfaces

Recognising conjugacy classes of Dehn twists on $D_{3}$ via Dynnikov coordinates

The real Mordell-Weil group of rational elliptic surfaces and real lines on del Pezzo surfaces of degree $K^{2} = 1$