Singularities on complete algebraic varieties

Fedor A. Bogomolov; Paolo Cascini; Bruno Oliveira

doi:10.2478/s11533-006-0005-x

Singularities on complete algebraic varieties

Fedor A. Bogomolov, Paolo Cascini, Bruno Oliveira

Mathematics

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

Abstract

We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.

Original language	English (US)
Pages (from-to)	194-208
Number of pages	15
Journal	Central European Journal of Mathematics
Volume	4
Issue number	2
DOIs	https://doi.org/10.2478/s11533-006-0005-x
State	Published - Jun 2006

Keywords

Deformation of singularities
Isolated singularities

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2478/s11533-006-0005-x

Cite this

@article{2f7e212e28a14e7ca1ec1eeea9353408,

title = "Singularities on complete algebraic varieties",

abstract = "We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.",

keywords = "Deformation of singularities, Isolated singularities",

author = "Bogomolov, {Fedor A.} and Paolo Cascini and Bruno Oliveira",

note = "Funding Information: ∗ The first author was partially supported by NSF grant DMS-01591 and the third author was partially supported by NSF grant DMS-03693 † E-mail: [email protected] ‡ E-mail: [email protected] § E-mail: [email protected]",

year = "2006",

month = jun,

doi = "10.2478/s11533-006-0005-x",

language = "English (US)",

volume = "4",

pages = "194--208",

journal = "Central European Journal of Mathematics",

issn = "1895-1074",

publisher = "Walter de Gruyter GmbH & Co. KG",

number = "2",

}

TY - JOUR

T1 - Singularities on complete algebraic varieties

AU - Bogomolov, Fedor A.

AU - Cascini, Paolo

AU - Oliveira, Bruno

N1 - Funding Information: ∗ The first author was partially supported by NSF grant DMS-01591 and the third author was partially supported by NSF grant DMS-03693 † E-mail: [email protected] ‡ E-mail: [email protected] § E-mail: [email protected]

PY - 2006/6

Y1 - 2006/6

N2 - We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.

AB - We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.

KW - Deformation of singularities

KW - Isolated singularities

UR - http://www.scopus.com/inward/record.url?scp=33748851492&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748851492&partnerID=8YFLogxK

U2 - 10.2478/s11533-006-0005-x

DO - 10.2478/s11533-006-0005-x

M3 - Article

AN - SCOPUS:33748851492

SN - 1895-1074

VL - 4

SP - 194

EP - 208

JO - Central European Journal of Mathematics

JF - Central European Journal of Mathematics

IS - 2

ER -

Singularities on complete algebraic varieties

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this