1 citations · 1 across the 2 of their papers we have counts for
4 papers
Convexity of coverings of projective varieties and vanishing theorems
F. Bogomolov, B. De Oliveira
This article is concerned with the convexity properties of universal covers of projective varieties. We study the relation between the convexity properties of the universal cover o…
Rational curves and points on K3 surfaces
Fedor Bogomolov, Yuri Tschinkel
We study the distribution of algebraic points on K3 surfaces.
Hyperelliptic Szpiro inequality
F. Bogomolov, L. Katzarkov, T. Pantev
We generalize the classical Szpiro inequality to the case of a semistable family of hyperelliptic curves. We show that for a semistable symplectic Lefschetz fibration of hyperellip…
Vanishing theorems and universal coverings of projective varieties
Fedor Bogomolov
This article contains a new argument which proves vanishing of the first cohomology for negative vector bundles over a complex projective variety if the rank of the bundle is small…