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arXiv · 1506.01229

The Euler characteristic of the generalized Kummer scheme of an Abelian threefold

Martin G. Gulbrandsen·Andrea T. Ricolfi
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Abstract

Let $X$ be an Abelian threefold. We prove a formula, conjectured by the first author, expressing the Euler characteristic of the generalized Kummer schemes $K^nX$ of $X$ in terms of the number of plane partitions. This computes the Donaldson-Thomas invariant of the moduli stack $[K^nX/X_n]$.

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Martin G. Gulbrandsen, Andrea T. Ricolfi. 2015-06-03. The Euler characteristic of the generalized Kummer scheme of an Abelian threefold. https://arxiv.org/abs/1506.01229

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