4 papers
math.NT2026
Periods of hyperplane arrangements and multiple polylogarithms
Riccardo Tosi
We compute the periods associated with a special class of hyperplane arrangements. In particular, we exhibit a combinatorial condition on the intersection lattice of a hyperplane a…
math.NT2026
An explicit study of a family of cellular integrals
Riccardo Tosi
We express a family of basic cellular integrals over moduli spaces of curves explicitly in terms of multiple zeta values, answering a question of Brown. Moreover, we study a priori…
math.NT2025
A simultaneous approximation problem for exponentials and logarithms
Veekesh Kumar, Riccardo Tosi
Let be non-zero algebraic numbers such that and let be a quadratic irrational number. In this article, we prove that the va…
math.NT2023
On the algebraic independence of periods of abelian varieties and their exponentials
Riccardo Tosi
We generalize a result by Vasil'ev on the algebraic independence of periods of abelian varieties to the case when some of these periods are replaced by their exponentials. We event…