English

Classification of free actions on complete intersections of four quadrics

Algebraic Geometry 2010-09-23 v2

Abstract

In this paper we classify all free actions of finite groups on Calabi-Yau complete intersection of 4 quadrics in \PP7\PP^7, up to projective equivalence. We get some examples of smooth Calabi-Yau threefolds with large nonabelian fundamental groups. We also observe the relation between some of these examples and moduli of polarized abelian surfaces.

Keywords

Cite

@article{arxiv.0707.4339,
  title  = {Classification of free actions on complete intersections of four quadrics},
  author = {Zheng Hua},
  journal= {arXiv preprint arXiv:0707.4339},
  year   = {2010}
}

Comments

17 pages, 1 table

R2 v1 2026-06-21T09:02:52.792Z