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math.AG2025
Intersection numbers as mixed volumes of Newton-Okounkov bodies
Robert Wilms
In this paper we express any intersection number of ample line bundles on an irreducible projective variety as the mixed volume $V(Δ_{Y_\bullet}(L_1),\d…
math.AG2022
On the Irreducibility and Distribution of Arithmetic Divisors
Robert Wilms
We introduce the notion of -irreducibility for arithmetic cycles meaning that the degree of its analytic part is small compared to the degree of its irreducible classical part.…
math.AG2021★ 4 cited
Degeneration of Riemann theta functions and of the Zhang-Kawazumi invariant with applications to a uniform Bogomolov conjecture
Robert Wilms
In this paper we study the degeneration behavior of the norm of the Riemann -function in a family of principally polarized abelian varieties over the punctured complex unit disc…