Classification of free actions on complete intersections of four quadrics

2007/07/30 by Zheng Hua, Hua, Zheng
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.0707.4339

17 pages, 1 table

openalex publication_date 2007/07/30 · arxiv created 2010/09/22 · arxiv updated 2010/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we classify all free actions of finite groups on Calabi-Yau complete intersection of 4 quadrics in \PP⁷, 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.

Related

• On Calabi-Yau threefolds with large nonabelian fundamental groups
• On Free Quotients of Complete Intersection Calabi-Yau Manifolds
• Complete intersections: Moduli, Torelli, and good reduction
• Intersections of three quadrics in ℙ⁷
• \mathfrak A₅-equivariant geometry of quadric threefolds