Inequalities between the chern numbers of a singular fiber in a family of algebraic curves

Jun Lu; Sheng Li Tan

doi:10.1090/S0002-9947-2012-05625-X

Inequalities between the chern numbers of a singular fiber in a family of algebraic curves

School of Mathematical Sciences

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

6 Scopus citations

Abstract

In a family of curves, the Chern numbers of a singular fiber are the local contributions to the Chern numbers of the total space. We will give some inequalities between the Chern numbers of a singular fiber as well as their lower and upper bounds. We introduce the dual fiber of a singular fiber, and prove a duality theorem. As an application, we will classify singular fibers with large or small Chern numbers.

Original language	English
Pages (from-to)	3373-3396
Number of pages	24
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9947-2012-05625-X
State	Published - Jul 2013

Keywords

Chern number
Classification
Isotrivial
Modular invariant
Singular fiber

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10.1090/S0002-9947-2012-05625-X

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title = "Inequalities between the chern numbers of a singular fiber in a family of algebraic curves",

abstract = "In a family of curves, the Chern numbers of a singular fiber are the local contributions to the Chern numbers of the total space. We will give some inequalities between the Chern numbers of a singular fiber as well as their lower and upper bounds. We introduce the dual fiber of a singular fiber, and prove a duality theorem. As an application, we will classify singular fibers with large or small Chern numbers.",

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AB - In a family of curves, the Chern numbers of a singular fiber are the local contributions to the Chern numbers of the total space. We will give some inequalities between the Chern numbers of a singular fiber as well as their lower and upper bounds. We introduce the dual fiber of a singular fiber, and prove a duality theorem. As an application, we will classify singular fibers with large or small Chern numbers.

KW - Chern number

KW - Classification

KW - Isotrivial

KW - Modular invariant

KW - Singular fiber

UR - https://www.scopus.com/pages/publications/84876426312

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 7

ER -

Inequalities between the chern numbers of a singular fiber in a family of algebraic curves

Abstract

Keywords

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