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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…
math.NT2021
A uniform quantitative Manin-Mumford theorem for curves over function fields
Nicole Looper, Joseph Silverman, Robert Wilms
We prove that any smooth projective geometrically connected non-isotrivial curve of genus over a one-dimensional function field of any characteristic has at most $16g^2+32…