14 citations · 24 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
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.…
On the additivity of Newton-Okounkov bodies
Robert Wilms
We study the additivity of Newton-Okounkov bodies. Our main result states that on two-dimensional subcones of the ample cone the Newto-Okounkov body associated to an appropriate fl…
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…
On arithmetic intersection numbers on self-products of curves
Robert Wilms
We give a close formula for the Néron-Tate height of tautological integral cycles on Jacobians of curves over number fields as well as a new lower bound for the arithmetic self-int…
Some Differential Equations for the Riemann -Function on Jacobians
Robert Wilms
We prove some differential equations for the Riemann theta function associated to the Jacobian of a Riemann surface. The proof is based on some variants of a formula by Fay for the…
New explicit formulas for Faltings' delta-invariant
Robert Wilms
In this paper we give new explicit formulas for Faltings' -invariant in terms of integrals of theta functions, and we deduce an explicit lower bound for only in terms of the…