2 papers
math.AP2024
Regularity of the solution to a real Monge--Ampère equation on the boundary of a simplex
Rolf Andreasson, Jakob Hultgren, Mattias Jonsson +2
Motivated by conjectures in Mirror Symmetry, we continue the study of the real Monge--Ampère operator on the boundary of a simplex. This can be formulated in terms of optimal trans…
math.DG2023
Singularities of the solution to a Monge--Ampère equation on the boundary of the 3-simplex
Mattias Jonsson, Nicholas McCleerey, Neil Patram +1
We show that the metric defined by the solution to the tropical Monge-Ampère equation, as defined by Hultgren, Mazzon, and the first two authors, on the boundary of the 3-simplex i…