Abstract

Let X be a Gorenstein minimal projective 3-fold with at worst locally factorial terminal singularities. Suppose that the canonical map is generically finite onto its image. C. Hacon showed that the canonical degree is universally bounded by 576. We improved Hacon’s universal bound to 360. Moreover, we gave all the possible canonical degrees of X if X is an abelian cover over \(\mathbb {P}^3\) and constructed all the examples with these canonical degrees.

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