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arXiv · 1509.04832

On the canonical degrees of Gorenstein threefolds of general type

Rong Du·Yun Gao
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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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Rong Du, Yun Gao. 2015-09-16. On the canonical degrees of Gorenstein threefolds of general type. https://arxiv.org/abs/1509.04832

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