On the canonical degrees of Gorenstein threefolds of general type

2015/09/16 by Rong Du, Yun Gao, Du, Rong +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1509.04832

openalex publication_date 2015/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℙ³ and constructed all the examples with these canonical degrees.

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