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

School of Mathematical Sciences

Nanjing University

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

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.

Original language	English
Pages (from-to)	295-304
Number of pages	10
Journal	Asian Journal of Mathematics
Volume	25
Issue number	2
DOIs	https://doi.org/10.4310/AJM.2021.v25.n2.a7
State	Published - 2021

Keywords

Embedding dimension
Exceptional set
Normal bundle
Small singularity

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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",

language = "英语",

volume = "25",

pages = "295--304",

journal = "Asian Journal of Mathematics",

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

AU - Du, Rong

AU - Fang, Xinyi

PY - 2021

Y1 - 2021

N2 - 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.

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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Keywords

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