Let X be an Abelian threefold. We prove a formula, conjectured by the first author, expressing the Euler characteristic of the generalized Kummer schemes KnX of X in terms of the number of plane partitions. This computes the Donaldson–Thomas invariant of the moduli stack [ KnX/ Xn].
Gulbrandsen M.G., Ricolfi A.T. (2016). The Euler charateristic of the generalized Kummer scheme of an Abelian threefold. GEOMETRIAE DEDICATA, 182(1), 73-79 [10.1007/s10711-015-0128-y].
The Euler charateristic of the generalized Kummer scheme of an Abelian threefold
Ricolfi A. T.
2016
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 KnX of X in terms of the number of plane partitions. This computes the Donaldson–Thomas invariant of the moduli stack [ KnX/ Xn].File in questo prodotto:
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