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Higher dimensional analogues of Inoue-Hirzebruch surfaces. (English) Zbl 0595.14031

The construction of Inoue-Hirzebruch surfaces is generalized to arbitrary dimension and the spaces so obtained are studied. Their rational homology is calculated and it is shown that they have no non-constant meromorphic functions. Their automorphism group and their finite quotients are described.

MSC:

14J40 \(n\)-folds (\(n>4\))
14L30 Group actions on varieties or schemes (quotients)
32H25 Picard-type theorems and generalizations for several complex variables
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References:

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