On the conditional measures on the orbits of the complex torus
Complex Variables
2021-02-18 v1 Symplectic Geometry
Abstract
We explore the structure of invariant measures on compact K\"ahler manifolds with Hamiltonian torus actions. We derive the formula for conditional measures on the orbits of the complex torus and use it to prove a conditional statement about uniqueness of solutions to the -Monge-Amp\`ere equation.
Cite
@article{arxiv.2102.08872,
title = {On the conditional measures on the orbits of the complex torus},
author = {Szymon Myga},
journal= {arXiv preprint arXiv:2102.08872},
year = {2021}
}
Comments
19 pages