## Advances in Theoretical and Mathematical Physics

### Classification of free actions on complete intersections of four quadrics

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.

#### Article information

Source
Adv. Theor. Math. Phys., Volume 15, Number 4 (2011), 973-990.

Dates
First available in Project Euclid: 11 June 2012