10 citations · 10 across the 5 of their papers we have counts for
5 papers
A remark on polycyclic groups of birational automorphisms
Aleksei Golota
Let be an algebraic variety of dimension over an algebraically closed field of zero characteristic. Suppose that is a virtually polycyclic subgroup in the group $\m…
Finite groups acting on compact complex parallelizable manifolds
Aleksei Golota
We prove that the automorphism group of a compact complex parallelizable manifold is Jordan. In the course of the proof we show that outer automorphism groups of cocompact lattices…
Delta-invariants for Fano varieties with large automorphism groups
Aleksei Golota
For a variety , a big -divisor and a closed connected subgroup we define a -invariant version of the -threshold. We prove th…
On negativity of total -jet curvature and ampleness of the canonical bundle
Aleksei Golota
A celebrated conjecture of Kobayashi and Lang says that the canonical line bundle of a Kobayashi hyperbolic compact complex manifold is ample. In this note we prove that…
Stable Bundles on Irregular Vaisman Manifolds
Aleksei Golota
A locally conformally Kähler (LCK) manifold is a complex manifold whose universal cover is Kähler with monodromy group acting on the universal cover by holomorphic homotheties. A V…