Sergey Finashin

E-mail

serge@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0003-3724-1556

Sections of rational elliptic Lefschetz fibrations Bhupal, Mohan; Finashin, Sergey (2025-03-01) We give a list of monodromy factorizations in the pure mapping class group $Mod(T_{d+1})$ of a torus with d+1 marked points that represent lines on a del Pezzo surface Y of degree $d\le4$. These factorizations are lifts ...
The real Mordell-Weil group of rational elliptic surfaces and real lines on del Pezzo surfaces of degree $K^2=1$ Finashin, Sergey; Kharlamov, Viatcheslav (2024-09-01) We undertake a study of topological properties of the real Mordell-Weil group $\operatorname{MW}_{\mathbb R}$ of real rational elliptic surfaces $X$ which we accompany by a related study of real lines on $X$ and on the "...
On Affine Real Cubic Surfaces Finashin, Sergey; Kharlamov, V. (2023-01-01) We prove that the space of affine, transversal at infinity, nonsingular real cubic surfaces has 15 connected components. We give a topological criterion to distinguish them and show also how these 15 components are adjacen...
Two kinds of real lines on real del Pezzo surfaces of degree 1 Finashin, Sergey (2021-11-01) 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(-)-structure on the real locus of the surfa...
Segre Indices and Welschinger Weights as Options for Invariant Count of Real Lines Finashin, Sergey (2021-03-01) In our previous paper [5] we have elaborated a certain signed count of real lines on real hypersurfaces of degree 2n - 1 in Pn+1. Contrary to the honest "cardinal" count, it is independent of the choice of a hypersurface a...
The first homology of a real cubic is generated by lines Finashin, Sergey (2021-01-01)
Rokhlin's signature theorems Finashin, Sergey; Kharlamov, Viatcheslav; Viro, Oleg (2020-12-01) This note is written for a book dedicated to outstanding St-Petersburg mathematicians and timed to the ICM-2022 in St-Petersburg. In accordance with the plan of ICM-organizers, we try to tell about one of the most promin...
A glimpse into Rokhlin's Signature Divisibility Theorem Finashin, Sergey; Kharlamov, Viatcheslav (2020-12-01) This paper was conceived as an addendum to the note "Rokhlin's signature theorems" (by O.Viro and the authors of this paper). In the main section we give an overview of Rokhlin's proof of his famous theorem on divisibili...
Chirality of real non-singular cubic fourfolds and their pure deformation classification Finashin, Sergey (Springer Science and Business Media LLC, 2020-02-22) In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coeffic...
TOPOLOGY OF REAL SCHLAFLI SIX-LINE CONFIGURATIONS ON CUBIC SURFACES AND IN RP3 Finashin, Sergey (American Mathematical Society (AMS), 2019-09-01) A famous configuration of 27 lines on a non-singular cubic surface in P-3 contains remarkable subconfigurations, and in particular the ones formed by six pairwise disjoint lines. We study such six-line configurations in th...

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