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

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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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Correspondence to Andrea T. Ricolfi.

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Gulbrandsen, M.G., Ricolfi, A.T. The Euler charateristic of the generalized Kummer scheme of an Abelian threefold. Geom Dedicata 182, 73–79 (2016). https://doi.org/10.1007/s10711-015-0128-y

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  • DOI: https://doi.org/10.1007/s10711-015-0128-y

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