NORMAL BUNDLES ON THE EXCEPTIONAL SETS OF SIMPLE SMALL RESOLUTIONS

Rong Du; Xinyi Fang

doi:10.4310/AJM.2021.v25.n2.a7

NORMAL BUNDLES ON THE EXCEPTIONAL SETS OF SIMPLE SMALL RESOLUTIONS

Rong Du^*
, Xinyi Fang

^*此作品的通讯作者

数学科学学院

Nanjing University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We study the normal bundles of the exceptional sets of higher dimensional isolated simple small singularities when the Picard groups of the exceptional sets are of rank one and their normal bundles have certain good filtrations. In particular, we prove numerical inequalities satisfied by normal bundles of exceptional sets.

源语言	英语
页（从-至）	295-304
页数	10
期刊	Asian Journal of Mathematics
卷	25
期	2
DOI	https://doi.org/10.4310/AJM.2021.v25.n2.a7
出版状态	已出版 - 2021

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10.4310/AJM.2021.v25.n2.a7

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title = "NORMAL BUNDLES ON THE EXCEPTIONAL SETS OF SIMPLE SMALL RESOLUTIONS",

abstract = "We study the normal bundles of the exceptional sets of higher dimensional isolated simple small singularities when the Picard groups of the exceptional sets are of rank one and their normal bundles have certain good filtrations. In particular, we prove numerical inequalities satisfied by normal bundles of exceptional sets.",

keywords = "Embedding dimension, Exceptional set, Normal bundle, Small singularity",

author = "Rong Du and Xinyi Fang",

note = "Publisher Copyright: {\textcopyright} 2021 International Press",

year = "2021",

doi = "10.4310/AJM.2021.v25.n2.a7",

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T1 - NORMAL BUNDLES ON THE EXCEPTIONAL SETS OF SIMPLE SMALL RESOLUTIONS

AU - Du, Rong

AU - Fang, Xinyi

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AB - We study the normal bundles of the exceptional sets of higher dimensional isolated simple small singularities when the Picard groups of the exceptional sets are of rank one and their normal bundles have certain good filtrations. In particular, we prove numerical inequalities satisfied by normal bundles of exceptional sets.

KW - Embedding dimension

KW - Exceptional set

KW - Normal bundle

KW - Small singularity

UR - https://www.scopus.com/pages/publications/85125441191

U2 - 10.4310/AJM.2021.v25.n2.a7

DO - 10.4310/AJM.2021.v25.n2.a7

M3 - 文章

AN - SCOPUS:85125441191

SN - 1093-6106

VL - 25

SP - 295

EP - 304

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

IS - 2

ER -

NORMAL BUNDLES ON THE EXCEPTIONAL SETS OF SIMPLE SMALL RESOLUTIONS

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