1 citations · 1 across the 7 of their papers we have counts for
7 papers
Gibbs polystability of Fano manifolds, stability thresholds and symmetry breaking
Rolf Andreasson, Robert J. Berman, Ludvig Svensson
We extend the probabilistic approach for constructing Kähler--Einstein metrics on log Fano manifolds - involving random point processes - to the case of non-discrete automo…
Critical temperatures and collapsing of two-dimensional Log gases
Rolf Andreasson, Ludvig Svensson
We consider the canonical ensemble of a system of point particles on the sphere interacting via a logarithmic pair potential. In this setting, we study the associated Gibbs measure…
Canonical heights, periods and the Hurwitz zeta function
Rolf Andreasson, Robert J. Berman
Let (X,D) be a projective log pair over the ring of integers of a number field such that the log canonical line bundle K_(X,D) or its dual -K_(X,D) is relatively ample. We introduc…
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…
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…
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…
Sharp bounds on the height of K-semistable Fano varieties I, the toric case
Rolf Andreasson, Robert J. Berman
Inspired by Fujita's algebro-geometric result that complex projective space has maximal degree among all K-semistable complex Fano varieties, we conjecture that the height of a K-s…