Classification of free actions on complete intersections of four quadrics

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

2007-07-30

arxiv.org/abs/0707.4339v2

Mathematics

Algebraic Geometry

17 pages, 1 table

Scientific paper

In this paper we classify all free actions of finite groups on Calabi-Yau
complete intersection of 4 quadrics in $\PP^7$, 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.

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