Computing the Euler characteristic of generalized Kummer varieties

Martin G. Gulbrandsen

doi:10.1007/s11512-006-0032-7

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Home > Journals > Ark. Mat. > Volume 45 > Issue 1 > Article

April 2007 Computing the Euler characteristic of generalized Kummer varieties

Martin G. Gulbrandsen

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Martin G. Gulbrandsen¹
¹Department of Mathematics, University of Oslo

Ark. Mat. 45(1): 49-60 (April 2007). DOI: 10.1007/s11512-006-0032-7

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Abstract

We give an elementary proof of the formula χ(KⁿA)=n³σ(n) for the Euler characteristic of the generalized Kummer variety KⁿA, where σ(n) denotes the sum of divisors function.

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Martin G. Gulbrandsen. "Computing the Euler characteristic of generalized Kummer varieties." Ark. Mat. 45 (1) 49 - 60, April 2007. https://doi.org/10.1007/s11512-006-0032-7