Higher dimensional Enriques varieties with even index
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- by Jin Hong Kim PDF
- Proc. Amer. Math. Soc. 141 (2013), 3701-3707 Request permission
Abstract:
Let $Y$ be an Enriques variety of complex dimension $2n-2$ with $n\ge 2$. Assume that $n=2m$ for odd 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 both $Y$ and its universal cover are always projective.References
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Additional Information
- Jin Hong Kim
- Affiliation: Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Yuseong-gu, Daejeon 305–701, Republic of Korea
- Address at time of publication: Department of Mathematics Education, Chosun University, 309 Pilmun-daero, Dong-gu, Gwangju 501-759, Republic of Korea
- MR Author ID: 321624
- Email: jinhkim11@gmail.com
- Received by editor(s): September 20, 2011
- Received by editor(s) in revised form: January 6, 2012, and January 11, 2012
- Published electronically: July 12, 2013
- Communicated by: Lev Borisov
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 3701-3707
- MSC (2010): Primary 14E05, 14J28, 14J32, 14J40
- DOI: https://doi.org/10.1090/S0002-9939-2013-11650-3
- MathSciNet review: 3091762