Abstract:Let X be a Gorenstein minimal projective n-fold with at worst locally factorial terminal singularities, and suppose that the canonical map of X is generically finite onto its image. When n < 4, the canonical degree is universally bounded. While the possibility of obtaining a universal bound on the canonical degree of X for n 4 may be inaccessible, we give a uniform upper bound for the degrees of certain abelian covers. In particular, we show that if the canonical divisor K X defines an abelian cover over P n ,… Show more
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