Hamiltonian actions of unipotent groups on compact Kähler manifolds
Authors: Daniel Greb ; Christian Miebach
NULL##NULL
Daniel Greb;Christian Miebach
We study meromorphic actions of unipotent complex Lie groups on compact
Kähler manifolds using moment map techniques. We introduce natural stability
conditions and show that sets of semistable points are Zariski-open and admit
geometric quotients that carry compactifiable Kähler structures obtained by
symplectic reduction. The relation of our complex-analytic theory to the work
of Doran--Kirwan regarding the Geometric Invariant Theory of unipotent group
actions on projective varieties is discussed in detail.