On a chern number inequality in dimension 3

Jheng Jie Chen

On a chern number inequality in dimension 3

Department of Mathematics

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

Abstract

We prove c₁(X) • c₂(X) < ci(X+) • c₂(X+) if X - X+ is a 3-fold terminal flip (resp. a(X) • c₂(X) < a(Y) • c₂(Y) if X -+ Y is a 3-fold elementary contraction contracting a divisor to a curve), where Ci(X) and c₂(X) denote the Chern classes.- These provide affirmative answers to two questions by Xie in [Xie].

Original language	English
Pages (from-to)	87-107
Number of pages	21
Journal	Journal of Mathematical Sciences (Japan)
Volume	27
Issue number	1
State	Published - 2020

Keywords

3-fold terminal singularities
Chern number

Cite this

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abstract = "We prove c1(X) • c2(X) < ci(X+) • c2(X+) if X - X+ is a 3-fold terminal flip (resp. a(X) • c2(X) < a(Y) • c2(Y) if X -+ Y is a 3-fold elementary contraction contracting a divisor to a curve), where Ci(X) and c2(X) denote the Chern classes.- These provide affirmative answers to two questions by Xie in [Xie].",

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AB - We prove c1(X) • c2(X) < ci(X+) • c2(X+) if X - X+ is a 3-fold terminal flip (resp. a(X) • c2(X) < a(Y) • c2(Y) if X -+ Y is a 3-fold elementary contraction contracting a divisor to a curve), where Ci(X) and c2(X) denote the Chern classes.- These provide affirmative answers to two questions by Xie in [Xie].

KW - 3-fold terminal singularities

KW - Chern number

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M3 - 期刊論文

AN - SCOPUS:85103467222

SN - 1340-5705

VL - 27

SP - 87

EP - 107

JO - Journal of Mathematical Sciences (Japan)

JF - Journal of Mathematical Sciences (Japan)

IS - 1

ER -

On a chern number inequality in dimension 3

Abstract

Keywords

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