Quotients of E^n by A_{n+1} and Calabi-Yau manifolds

Details Quotients of E^n by A_{n+1} and Calabi-Yau manifolds Quotients of E^n by A_{n+1} and Calabi-Yau manifolds

2004-11-13

arxiv.org/abs/math/0411310v2

Mathematics

Algebraic Geometry

9 pages

Scientific paper

We give a simple construction, starting with any elliptic curve E, of an n-dimensional Calabi-Yau variety of Kummer type (for any n>1), by considering the quotient Y of the n-fold self-product of E by a natural action of the alternating group A_{n+1} (in n+1 variables). The vanishing of H^m(Y, O_Y) for 0

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