Severi inequality for varieties of maximal Albanese dimension

Tong Zhang

doi:10.1007/s00208-014-1025-7

Severi inequality for varieties of maximal Albanese dimension

Tong Zhang^*

^*Corresponding author for this work

University of Alberta

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

21 Scopus citations

Abstract

In this paper, we prove the general Severi inequality for varieties of maximal Albanese dimension. Suppose that X is an n-dimensional projective, normal, minimal and ℚ-Gorenstein variety of general type in characteristic zero. If X is of maximal Albanese dimension, then Kⁿ_X≥2n!χ(ω_X).

Original language	English
Pages (from-to)	1097-1114
Number of pages	18
Journal	Mathematische Annalen
Volume	359
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-014-1025-7
State	Published - Aug 2014
Externally published	Yes

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title = "Severi inequality for varieties of maximal Albanese dimension",

abstract = "In this paper, we prove the general Severi inequality for varieties of maximal Albanese dimension. Suppose that X is an n-dimensional projective, normal, minimal and ℚ-Gorenstein variety of general type in characteristic zero. If X is of maximal Albanese dimension, then KnX≥2n!χ(ωX).",

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AB - In this paper, we prove the general Severi inequality for varieties of maximal Albanese dimension. Suppose that X is an n-dimensional projective, normal, minimal and ℚ-Gorenstein variety of general type in characteristic zero. If X is of maximal Albanese dimension, then KnX≥2n!χ(ωX).

UR - https://www.scopus.com/pages/publications/84904417054

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DO - 10.1007/s00208-014-1025-7

M3 - 文章

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VL - 359

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EP - 1114

JO - Mathematische Annalen

JF - Mathematische Annalen

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ER -

Severi inequality for varieties of maximal Albanese dimension

Abstract

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