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    Title      l  Higher dimensional Enriques varieties with even index
    Author   l  Jin Hong Kim
    Date   l  2010-11-09
    Category   l  ASARC-Preprint-10-06
    Download    l 1306134455_0.535177.pdf  
Let Y be a compact complex smooth Enriques variety of complex
dimension 2n¡2 with n ¸ 2 whose fundamental group is cyclic of order
n. Assume that n = 2m for prime m. In this paper we show that Y
is the quotient of a product of a Calabi-Yau manifold of dimension
2m and an irreducible holomorphic symplectic manifold of dimension
2m ¡ 2 by an automorphism of order n acting freely. We also show
that Y and its universal cover are both projective.

Keyword

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