On the slope of non-algebraic holomorphic foliations

Jie Hong; Jun Lu; Sheng Li Tan

doi:10.1090/proc/15097

On the slope of non-algebraic holomorphic foliations

Jie Hong
, Jun Lu
, Sheng Li Tan

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

Let (Y, G) be a Riccati foliation on Y and let π: (X, F)→(Y, G) be a double cover ramified over some normal-crossing curves. We will determine the minimal model of F and compute its Chern numbers c²₁(F), c2(F), and χ(F) = (c²₁(F) + c2(F))/12. We will prove that the slope λ(F) = c²₁(F)/χ(F) satisfies 4 ≤ λ(F) < 12.

源语言	英语
页（从-至）	4817-4830
页数	14
期刊	Proceedings of the American Mathematical Society
卷	148
期	11
DOI	https://doi.org/10.1090/proc/15097
出版状态	已出版 - 11月 2020

访问文件

10.1090/proc/15097

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{4edaad3823064b8a9ee1721d9f14528b,

title = "On the slope of non-algebraic holomorphic foliations",

abstract = "Let (Y, G) be a Riccati foliation on Y and let π: (X, F)→(Y, G) be a double cover ramified over some normal-crossing curves. We will determine the minimal model of F and compute its Chern numbers c21(F), c2(F), and χ(F) = (c21(F) + c2(F))/12. We will prove that the slope λ(F) = c21(F)/χ(F) satisfies 4 ≤ λ(F) < 12.",

keywords = "Chern number, Double cover, Riccati foliation, Slope inequality",

author = "Jie Hong and Jun Lu and Tan, \{Sheng Li\}",

note = "Publisher Copyright: {\textcopyright} 2020 American Mathematical Society",

year = "2020",

month = nov,

doi = "10.1090/proc/15097",

language = "英语",

volume = "148",

pages = "4817--4830",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "11",

}

TY - JOUR

T1 - On the slope of non-algebraic holomorphic foliations

AU - Hong, Jie

AU - Lu, Jun

AU - Tan, Sheng Li

PY - 2020/11

Y1 - 2020/11

N2 - Let (Y, G) be a Riccati foliation on Y and let π: (X, F)→(Y, G) be a double cover ramified over some normal-crossing curves. We will determine the minimal model of F and compute its Chern numbers c21(F), c2(F), and χ(F) = (c21(F) + c2(F))/12. We will prove that the slope λ(F) = c21(F)/χ(F) satisfies 4 ≤ λ(F) < 12.

AB - Let (Y, G) be a Riccati foliation on Y and let π: (X, F)→(Y, G) be a double cover ramified over some normal-crossing curves. We will determine the minimal model of F and compute its Chern numbers c21(F), c2(F), and χ(F) = (c21(F) + c2(F))/12. We will prove that the slope λ(F) = c21(F)/χ(F) satisfies 4 ≤ λ(F) < 12.

KW - Chern number

KW - Double cover

KW - Riccati foliation

KW - Slope inequality

UR - https://www.scopus.com/pages/publications/85092755229

U2 - 10.1090/proc/15097

DO - 10.1090/proc/15097

M3 - 文章

AN - SCOPUS:85092755229

SN - 0002-9939

VL - 148

SP - 4817

EP - 4830

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

ER -