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A note on characterizations of Abelian varieties by topological invariants

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In this note, for any given n≥3 and 2≤mn (when m=n, we assume n divides 3 and n≥6), we construct examples of smooth projective varieties X of dimension n with p g (X)=1, π1(X)≌ℤ2n and the Kodaira dimension κ(X)=m.

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Correspondence to Jin-Xing Cai.

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Mathematics Subject Classification (2000): 14H45, 14H99

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Cai, JX., Chen, J. A note on characterizations of Abelian varieties by topological invariants. manuscripta math. 112, 15–19 (2003). https://doi.org/10.1007/s00229-003-0384-2

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  • DOI: https://doi.org/10.1007/s00229-003-0384-2

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