On a chern number inequality in dimension 3

Jheng Jie Chen

On a chern number inequality in dimension 3

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

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].

原文	???core.languages.en_GB???
頁（從 - 到）	87-107
頁數	21
期刊	Journal of Mathematical Sciences (Japan)
卷	27
發行號	1
出版狀態	已出版 - 2020

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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

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JO - Journal of Mathematical Sciences (Japan)

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On a chern number inequality in dimension 3

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