Some intersection numbers of divisors on toroidal compactifications of A_g

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We study the top intersection numbers of the boundary and Hodge class
divisors on toroidal compactifications of the moduli space $A_g$ of principally
polarized abelian varieties and compute those numbers that live away from the
stratum which lies over the closure of $A_{g-3}$ in the Satake
compactification.

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