On severi type inequalities for irregular surfaces

Xin Lu; Kang Zuo

doi:10.1093/imrn/rnx127

On severi type inequalities for irregular surfaces

Xin Lu^*
, Kang Zuo

^*Corresponding author for this work

Johannes Gutenberg University Mainz

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

13 Scopus citations

Abstract

Let be a minimal surface of general type and of maximal Albanese dimension. We show that and we also obtain the characterization of the equality. As a consequence, we prove a conjecture that the surfaces of general type and of maximal Albanese dimension with are exactly the minimal resolution of the double covers of abelian surfaces branched over ample divisors with at worst simple singularities, and we also prove a conjecture of Manetti on the geography of irregular surfaces.

Original language	English
Pages (from-to)	231-248
Number of pages	18
Journal	International Mathematics Research Notices
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1093/imrn/rnx127
State	Published - 9 Jan 2019
Externally published	Yes

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title = "On severi type inequalities for irregular surfaces",

abstract = "Let be a minimal surface of general type and of maximal Albanese dimension. We show that and we also obtain the characterization of the equality. As a consequence, we prove a conjecture that the surfaces of general type and of maximal Albanese dimension with are exactly the minimal resolution of the double covers of abelian surfaces branched over ample divisors with at worst simple singularities, and we also prove a conjecture of Manetti on the geography of irregular surfaces.",

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AU - Zuo, Kang

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Y1 - 2019/1/9

N2 - Let be a minimal surface of general type and of maximal Albanese dimension. We show that and we also obtain the characterization of the equality. As a consequence, we prove a conjecture that the surfaces of general type and of maximal Albanese dimension with are exactly the minimal resolution of the double covers of abelian surfaces branched over ample divisors with at worst simple singularities, and we also prove a conjecture of Manetti on the geography of irregular surfaces.

AB - Let be a minimal surface of general type and of maximal Albanese dimension. We show that and we also obtain the characterization of the equality. As a consequence, we prove a conjecture that the surfaces of general type and of maximal Albanese dimension with are exactly the minimal resolution of the double covers of abelian surfaces branched over ample divisors with at worst simple singularities, and we also prove a conjecture of Manetti on the geography of irregular surfaces.

UR - https://www.scopus.com/pages/publications/85035152332

U2 - 10.1093/imrn/rnx127

DO - 10.1093/imrn/rnx127

M3 - 文章

AN - SCOPUS:85035152332

SN - 1073-7928

VL - 2019

SP - 231

EP - 248

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 1

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On severi type inequalities for irregular surfaces

Abstract

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