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Compact Complex n-folds with bettiBetti numbers b_1=b_2=b_n=0$b_1=b_2=b_n=0$ for n >3$n >3$

Are there known examples of compact complex n-dimensional manifolds with betti numbers $b_1=b_2=b_n=0$ for $n >3$? (The case of $n=3$ is the question of aintegrable complex structurestructures on $S^6$homology 6-spheres.)

Complex n-folds with betti numbers b_1=b_2=b_n=0 for n >3

Are there known examples of complex n-dimensional manifolds with betti numbers $b_1=b_2=b_n=0$ for $n >3$? (The case of $n=3$ is the question of a complex structure on $S^6$.)

Compact Complex n-folds with Betti numbers $b_1=b_2=b_n=0$ for $n >3$

Are there known examples of compact complex n-dimensional manifolds with betti numbers $b_1=b_2=b_n=0$ for $n >3$? (The case of $n=3$ is the question of integrable complex structures on homology 6-spheres.)

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Complex n-folds with betti numbers b_1=b_2=b_n=0 for n >3

Are there known examples of complex n-dimensional manifolds with betti numbers $b_1=b_2=b_n=0$ for $n >3$? (The case of $n=3$ is the question of a complex structure on $S^6$.)