Automorphism groups of rational surfaces

Takato Uehara

doi:10.1016/j.jpaa.2019.05.013

Automorphism groups of rational surfaces

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

Abstract

In this paper, we consider automorphism groups of rational surfaces which admit cuspidal anticanonical curves and have certain nontrivial automorphisms. By applying Coxeter theory, we show that the automorphism groups of the surfaces are isomorphic to the infinite cyclic group.

Original language	English
Pages (from-to)	411-422
Number of pages	12
Journal	Journal of Pure and Applied Algebra
Volume	224
Issue number	1
DOIs	https://doi.org/10.1016/j.jpaa.2019.05.013
Publication status	Published - Jan 2020

Keywords

Automorphism group
Cuspidal anticanonical curve
Rational surface

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2019.05.013

Cite this

@article{a337666ede904d899bf3805014c2b5e8,

title = "Automorphism groups of rational surfaces",

abstract = "In this paper, we consider automorphism groups of rational surfaces which admit cuspidal anticanonical curves and have certain nontrivial automorphisms. By applying Coxeter theory, we show that the automorphism groups of the surfaces are isomorphic to the infinite cyclic group.",

keywords = "Automorphism group, Cuspidal anticanonical curve, Rational surface",

author = "Takato Uehara",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2020",

month = jan,

doi = "10.1016/j.jpaa.2019.05.013",

language = "English",

volume = "224",

pages = "411--422",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Automorphism groups of rational surfaces

AU - Uehara, Takato

PY - 2020/1

Y1 - 2020/1

N2 - In this paper, we consider automorphism groups of rational surfaces which admit cuspidal anticanonical curves and have certain nontrivial automorphisms. By applying Coxeter theory, we show that the automorphism groups of the surfaces are isomorphic to the infinite cyclic group.

AB - In this paper, we consider automorphism groups of rational surfaces which admit cuspidal anticanonical curves and have certain nontrivial automorphisms. By applying Coxeter theory, we show that the automorphism groups of the surfaces are isomorphic to the infinite cyclic group.

KW - Automorphism group

KW - Cuspidal anticanonical curve

KW - Rational surface

UR - http://www.scopus.com/inward/record.url?scp=85065203328&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065203328&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2019.05.013

DO - 10.1016/j.jpaa.2019.05.013

M3 - Article

AN - SCOPUS:85065203328

SN - 0022-4049

VL - 224

SP - 411

EP - 422

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1

ER -

Automorphism groups of rational surfaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this