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math.AG2022
The arithmetic volume of the moduli space of abelian surfaces
Barbara Jung, Anna-Maria von Pippich
Let denote the moduli stack of principally polarized abelian varieties of dimension . The arithmetic height, or arithmetic volume, of ,…
math.NT2022
Self-intersection of the relative dualizing sheaf on modular curves X(N)
Miguel Grados, Anna-Maria von Pippich
Let be a composite, odd, and square-free integer and let be the principal congruence subgroup of level . Let be the modular curve of genus associated…