The Non-Archimedean Monge-Ampere Equation
Sebastien Boucksom, Charles Favre, Mattias Jonsson
TL;DR
This paper introduces solutions to the non-Archimedean Monge-Ampere equation, comparing it to the complex case, and provides insights into tropical and non-Archimedean geometry.
Contribution
It presents a foundational introduction to solving the non-Archimedean Monge-Ampere equation and relates it to complex geometry.
Findings
Comparison between non-Archimedean and complex Monge-Ampere equations
Insights into tropical and non-Archimedean geometric frameworks
Foundational methods for solving the non-Archimedean equation
Abstract
We give an introduction to our work on the solution to the non-Archimedean Monge-Ampere equation and make comparisons to the complex counterpart. These notes are partially based on talks at the 2015 Simons Symposium on Tropical and Nonarchimedean Geometry.
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Taxonomy
TopicsGeometry and complex manifolds