F. Bogomolov

activity

19972025

most citedRemarks on endomorphisms and rational points

32 citations · 51 across the 27 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AG2017

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.

math.AG2017

Classifying $V I I_{0}$ surfaces with $b_{2} = 0$ via group theory

Federico Buonerba, Fedor Bogomolov, Nikon Kurnosov

We give a new proof of a theorem of Bogomolov, that the only $V I I_{0}$ surfaces with $b_{2} = 0$ are those constructed by Hopf and Inoue. The proof follows the strategy of the original…

math.AG2017

Dominant classes of projective varieties

Federico Buonerba, Fedor Bogomolov

We give evidence for a uniformization-type conjecture, that any algebraic variety can be altered into a variety endowed with a tower of smooth fibrations of relative dimension one.

Homomorphisms of multiplicative groups of fields preserving algebraic dependence

Classifying VII0​ surfaces with b2​=0 via group theory

Dominant classes of projective varieties

Classifying $V I I_{0}$ surfaces with $b_{2} = 0$ via group theory