On the canonical degrees of Gorenstein threefolds of general type

Rong Du; Yun Gao

doi:10.1007/s10711-016-0171-3

On the canonical degrees of Gorenstein threefolds of general type

Rong Du^*
, Yun Gao

^*此作品的通讯作者

数学科学学院

Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	123-130
页数	8
期刊	Geometriae Dedicata
卷	185
期	1
DOI	https://doi.org/10.1007/s10711-016-0171-3
出版状态	已出版 - 1 12月 2016

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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{\textquoteright}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.",

keywords = "Abelian cover, Canonical degrees, Canonical map, Gorenstein minimal projective threefold, Locally factorial terminal singularities",

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KW - Abelian cover

KW - Canonical degrees

KW - Canonical map

KW - Gorenstein minimal projective threefold

KW - Locally factorial terminal singularities

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On the canonical degrees of Gorenstein threefolds of general type

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