F. Lárusson

activity

20242026

collaborators

7 papers

math.CV2026

Every projective Oka manifold is elliptic

Franc Forstneric, Finnur Larusson

We show that every projective Oka manifold is elliptic in the sense of Gromov. This gives an affirmative answer to a long-standing open question.

math.CV2025

Parametric equivariant Oka principle

Frank Kutzschebauch, Finnur Larusson, Gerald W. Schwarz

Let $G$ be a reductive complex Lie group and $K$ be a maximal compact subgroup of $G$ . Let $X$ be a reduced Stein $G$ -space and $Y$ be a $G$ -elliptic manifold. We prove the followi…

math.CV2025

Generic conservative dynamics on Stein manifolds with the volume density property

Leandro Arosio, Finnur Larusson

We study the dynamics of generic volume-preserving automorphisms $f$ of a Stein manifold $X$ of dimension at least 2 with the volume density property. Among such $X$ are all connec…

math.CV2025

Dynamics of generic automorphisms of Stein manifolds with the density property

Leandro Arosio, Finnur Larusson

We study the dynamics of a generic automorphism $f$ of a Stein manifold with the density property. Such manifolds include all linear algebraic groups. Even in the special case of $…

math.CV2025

Regular immersions directed by algebraically elliptic cones

Antonio Alarcon, Finnur Larusson

Let $M$ be an open Riemann surface and $A$ be the punctured cone in $C^{n} ∖ {0}$ on a smooth projective variety $Y$ in $P^{n - 1}$ . Recently, Runge approxima…

math.CV2024

Oka-1 manifolds: New examples and properties

Franc Forstneric, Finnur Larusson

In this paper we investigate Oka-1 manifolds and Oka-1 maps, a class of complex manifolds and holomorphic maps recently introduced by AlarcÃ³n and ForstneriÄ. Oka-1 manifolds are…