EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

Shulim Kaliman

doi:10.1007/s00031-019-09546-3

EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

Shulim Kaliman

Mathematics

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

Abstract

Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n − 3 in Akn. We find some conditions under which an isomorphism of two closed subvarieties of X can be extended to an automorphism of X. We also study the similar problem for subvarieties of affine quadrics and SL(n, k).

Original language	English (US)
Pages (from-to)	517-575
Number of pages	59
Journal	Transformation Groups
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s00031-019-09546-3
State	Published - Jun 1 2020

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Access to Document

10.1007/s00031-019-09546-3

Cite this

@article{cf3f6664f81349ce92bcebf2bc00f146,

title = "EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES",

abstract = "Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n − 3 in Akn. We find some conditions under which an isomorphism of two closed subvarieties of X can be extended to an automorphism of X. We also study the similar problem for subvarieties of affine quadrics and SL(n, k).",

author = "Shulim Kaliman",

year = "2020",

month = jun,

day = "1",

doi = "10.1007/s00031-019-09546-3",

language = "English (US)",

volume = "25",

pages = "517--575",

journal = "Transformation Groups",

issn = "1083-4362",

publisher = "Birkhause Boston",

number = "2",

}

TY - JOUR

T1 - EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

AU - Kaliman, Shulim

PY - 2020/6/1

Y1 - 2020/6/1

N2 - Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n − 3 in Akn. We find some conditions under which an isomorphism of two closed subvarieties of X can be extended to an automorphism of X. We also study the similar problem for subvarieties of affine quadrics and SL(n, k).

AB - Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n − 3 in Akn. We find some conditions under which an isomorphism of two closed subvarieties of X can be extended to an automorphism of X. We also study the similar problem for subvarieties of affine quadrics and SL(n, k).

UR - http://www.scopus.com/inward/record.url?scp=85076849206&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85076849206&partnerID=8YFLogxK

U2 - 10.1007/s00031-019-09546-3

DO - 10.1007/s00031-019-09546-3

M3 - Article

AN - SCOPUS:85076849206

VL - 25

SP - 517

EP - 575

JO - Transformation Groups

JF - Transformation Groups

SN - 1083-4362

IS - 2

ER -

EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this