A. Golota

activity

20172026

collaborators

3 papers

math.AG2026

A remark on polycyclic groups of birational automorphisms

Aleksei Golota

Let $X$ be an algebraic variety of dimension $d$ over an algebraically closed field $k$ of zero characteristic. Suppose that $G$ is a virtually polycyclic subgroup in the group $\m…

math.AG2019

Delta-invariants for Fano varieties with large automorphism groups

Aleksei Golota

For a variety $X$ , a big $Q$ -divisor $L$ and a closed connected subgroup $G \subset Aut (X, L)$ we define a $G$ -invariant version of the $δ$ -threshold. We prove th…

math.AG2017

On negativity of total $k$ -jet curvature and ampleness of the canonical bundle

Aleksei Golota

A celebrated conjecture of Kobayashi and Lang says that the canonical line bundle $K_{X}$ of a Kobayashi hyperbolic compact complex manifold $X$ is ample. In this note we prove that…

A remark on polycyclic groups of birational automorphisms

Delta-invariants for Fano varieties with large automorphism groups

On negativity of total k-jet curvature and ampleness of the canonical bundle

On negativity of total $k$ -jet curvature and ampleness of the canonical bundle