Abstract
For each n \geq 3 we provide an n -dimensional rigid compact complex manifold of Kodaira dimension 1 . First we constructed a series of singular quotients of products of (n-1) Fermat curves with the Klein quartic, which are rigid. Then using toric geometry a suitable resolution of singularities is constructed and the deformation theories of the singular model and of the resolutions are compared, showing the rigidity of the resolutions.
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