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

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 $K^{n}X$ of $X$ in terms of the number of plane partitions. This computes the Donaldson-Thomas invariant of the moduli stack $[K^{n}X/X_n]$.

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References in corpus (1)

• The Euler characteristics of generalized Kummer schemes