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math.CO2024
Principal minors of tree distance matrices
Harry Richman, Farbod Shokrieh, Chenxi Wu
We prove that the principal minors of the distance matrix of a tree satisfy a combinatorial expression involving counts of rooted spanning forests of the underlying tree. This gene…
math.NT2024
Canonical local heights and Berkovich skeleta
Robin de Jong, Farbod Shokrieh
We discuss canonical local heights on abelian varieties over non-archimedean fields from the point of view of Berkovich analytic spaces. Our main result is a refinement of Néron's…