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

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	123-130
Number of pages	8
Journal	Geometriae Dedicata
Volume	185
Issue number	1
DOIs	https://doi.org/10.1007/s10711-016-0171-3
State	Published - 1 Dec 2016

Keywords

Abelian cover
Canonical degrees
Canonical map
Gorenstein minimal projective threefold
Locally factorial terminal singularities

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10.1007/s10711-016-0171-3

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title = "On the canonical degrees of Gorenstein threefolds of general type",

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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AU - Gao, Yun

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N2 - 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.

AB - 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.

KW - Abelian cover

KW - Canonical degrees

KW - Canonical map

KW - Gorenstein minimal projective threefold

KW - Locally factorial terminal singularities

UR - https://www.scopus.com/pages/publications/84969856774

U2 - 10.1007/s10711-016-0171-3

DO - 10.1007/s10711-016-0171-3

M3 - 文章

AN - SCOPUS:84969856774

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JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

On the canonical degrees of Gorenstein threefolds of general type

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