Catanese, Fabrizio; Demleitner, Andreas The classification of hyperelliptic threefolds. (English) Zbl 1473.14074 Groups Geom. Dyn. 14, No. 4, 1447-1454 (2020). Summary: We complete the classification of hyperelliptic threefolds, describing in an elementary way the hyperelliptic threefolds with group \(D_4\). These are algebraic and form an irreducible 2-dimensional family. Cited in 5 Documents MSC: 14J30 \(3\)-folds 14J50 Automorphisms of surfaces and higher-dimensional varieties 32Q15 Kähler manifolds Keywords:complex tori; automorphisms; hyperelliptic manifolds PDFBibTeX XMLCite \textit{F. Catanese} and \textit{A. Demleitner}, Groups Geom. Dyn. 14, No. 4, 1447--1454 (2020; Zbl 1473.14074) Full Text: DOI arXiv References: [1] F. Catanese and P. Corvaja, Teichmüller spaces of generalized hyperelliptic manifolds. In D. Angella, C. Medori, and A. Tomassini (eds.),Complex and symplectic geometry.(Cortona, 2016.) Springer INdAM Series, 21. Springer, Cham, 2017, 39-49. Zbl 1391.32022 MR 3645304 · Zbl 1391.32022 [2] F. Catanese and A. Demleitner, Hyperelliptic threefolds with groupD4, the dihedral group of order8. Preprint, 2018.arXiv:1805.01835[math.AG] [3] K. Dekimpe, M. Hałenda, and A. Szczepański, Kähler flat manifolds.J. Math. Soc. Japan61(2009), no. 2, 363-377.Zbl 1187.53051 MR 2532893 · Zbl 1187.53051 [4] A. Fujiki, Finite automorphism groups of complex tori of dimension two.Publ. Res. Inst. Math. Sci.24(1988), no. 1, 1-97.Zbl 0654.32015 MR 0944867 · Zbl 0654.32015 [5] H. Lange, Hyperelliptic varieties.Tohoku Math. J.(2)53(2001), no. 4, 491-510. Zbl 1072.14526 MR 1862215 · Zbl 1072.14526 [6] K. Uchida and H. Yoshihara, Discontinuous groups of affine transformations ofC3. Tohoku Math. J.(2)28(1976), no. 1, 89-94.Zbl 0352 · Zbl 0352.20032 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.