February 2024 On the Conditional Measures on the Orbits of the Complex Torus
Szymon Myga
Michigan Math. J. 74(1): 21-43 (February 2024). DOI: 10.1307/mmj/20216050

Abstract

We explore the structure of invariant measures on compact Kähler manifolds with Hamiltonian torus actions. We derive a 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 g-Monge–Ampère equation.

Citation

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Szymon Myga. "On the Conditional Measures on the Orbits of the Complex Torus." Michigan Math. J. 74 (1) 21 - 43, February 2024. https://doi.org/10.1307/mmj/20216050

Information

Received: 5 March 2021; Revised: 19 April 2022; Published: February 2024
First available in Project Euclid: 25 February 2024

MathSciNet: MR4718490
Digital Object Identifier: 10.1307/mmj/20216050

Keywords: 28A50 , 32W20 , 53D20

Rights: Copyright © 2024 The University of Michigan

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Vol.74 • No. 1 • February 2024
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