32 citations · 51 across the 27 of their papers we have counts for
28 papers
Stabilization of direct images for curves
Fedor Bogomolov, Spencer F. Schrandt
We discuss phenomena of stabilization for direct images of line bundles over projective curves mapping onto the projective line, for maps of sufficiently big degree.
Sections of Lagrangian fibrations on holomorphic symplectic manifolds
Fedor Bogomolov, Ljudmila Kamenova, Misha Verbitsky
Let be a holomorphically symplectic manifold, equipped with a Lagrangian fibration . A degenerate twistor deformation (sometimes also called ``a Tate-Shafarevich…
Stable vector bundles on the families of curves
Fedor Bogomolov, Elena Lukzen
We offer a new approach to proving the Chen-Donaldson-Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on…
Purely noncommuting groups
Ben Blum-Smith, Fedor Bogomolov
In this paper we define and investigate a class of groups characterized by a representation-theoretic property we call purely noncommuting or PNC. This property guarantees that the…
On stable cohomology of central extensions of elementary abelian groups
Fedor Bogomolov, Christian Böhning, Alena Pirutka
We study when kernels of inflation maps associated to extraspecial p-groups in stable group cohomology are generated by their degree two components. This turns out to be true if th…
Homomorphisms of multiplicative groups of fields preserving algebraic dependence
Fedor Bogomolov, Marat Rovinsky, Yuri Tschinkel
We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.