On bicanonical maps of threefolds of general type with large volumes

Abstract

We prove that for any smooth projective 3-fold of general type with canonical volume greater than 126, the image of its bicanonical map has dimension at least 2. We also study pluricanonical maps of 3-folds of general type with large canonical volume and fibered by (1,2)-surfaces or (2,3)-surfaces.

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