Advances in Theoretical and Mathematical Physics

Volume 15 (2011)

Number 4

Classification of free actions on complete intersections of four quadrics

Pages: 973 – 990

DOI: http://dx.doi.org/10.4310/ATMP.2011.v15.n4.a2

Author

Zheng Hua

Abstract

In this paper we classify all free actions of finite groups on Calabi–Yau complete intersection of four quadrics in $\mathbb{P}^7$, up to projective equivalence. We get some examples of smooth Calabi–Yau three-folds with large nonabelian fundamental groups. We also observe the relation between some of these examples and moduli of polarized abelian surfaces.

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