3 papers
math.DG2026
Gibbs polystability of Fano manifolds, stability thresholds and symmetry breaking
Rolf Andreasson, Robert J. Berman, Ludvig Svensson
We extend the probabilistic approach for constructing Kahler-Einstein metrics on log Fano manifolds X - involving random point processes - to the case of non-discrete automorphism…
math.NT2024
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…
math.AG2024
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…