29 citations · 116 across the 36 of their papers we have counts for
36 papers
Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations
Fedor Bogomolov, Rodion Deev, Misha Verbitsky
Let be a holomorphically symplectic manifold equipped with a holomorphic Lagrangian fibration , and a closed form of Hodge type (1,1)+(2,0) on .…
Geometry and automorphisms of non-Kähler holomorphic symplectic manifolds
Fedor Bogomolov, Nikon Kurnosov, Alexandra Kuznetsova +1
We consider the only one known class of non-Kähler irreducible holomorphic symplectic manifolds, described in the works of D. Guan and the first author. Any such manifold of di…
On the -invariant quadruples of torsion points of elliptic curves
Fedor Bogomolov, Hang Fu
Let be an elliptic curve and a standard double cover identifying . It is known that for some torsion points , , the…
Lagrangian fibrations for IHS fourfolds
Fedor Bogomolov, Nikon Kurnosov
In this paper we study the Lagrangian fibrations for projective irreducible symplectic fourfolds and exclude the case of non-smooth base. Our method could be extended to the higher…
Noether's problem and descent
Fedor Bogomolov, Yuri Tschinkel
We study Noether's problem from the perspective of torsors under linear algebraic groups and descent.
Algebraically hyperbolic manifolds have finite automorphism groups
Fedor Bogomolov, Ljudmila Kamenova, Misha Verbitsky
A projective manifold is algebraically hyperbolic if there exists a positive constant such that the degree of any curve of genus on is bounded from above by $A(g-1)…