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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…