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20222025
most citedSharp bounds on the height of K-semistable Fano varieties I, the toric case

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math.AG2023

Sharp bounds on the height of K-semistable Fano varieties II, the log case

Rolf Andreasson, Robert J. Berman

In our previous work we conjectured - inspired by an algebro-geometric result of Fujita - that the height of an arithmetic Fano variety X of relative dimension is maximal when…

math.DG2023

Solvability of Monge-Ampère equations and tropical affine structures on reflexive polytopes

Rolf Andreasson, Jakob Hultgren

Given a reflexive polytope with a height function, we prove a necessary and sufficient condition for solvability of the associated Monge-Ampère equation. When the polytope is Delza…