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].
The Euler charateristic of the generalized Kummer scheme of an Abelian threefold / Gulbrandsen M.G.; Ricolfi A.T.. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 182:1(2016), pp. 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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