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기하학 수리물리 연구단
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G-birational rigidity of the projective plane

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Title
G-birational rigidity of the projective plane
Author(s)
Dmitrijs Sakovics
Publication Date
2019-09
Journal
European Journal of Mathematics, v.5, no.3, pp.1090 - 1105
Publisher
Springer International Publishing AG
Abstract
Given a surface S and a finite group G of automorphisms of S, consider the birational maps S⤏ S′ that commute with the action of G. This leads to the notion of a G-minimal variety. A natural question arises: for a fixed group G, is there a birational G-map between two different G-minimal surfaces? If no such map exists, the surface is said to be G-birationally rigid. This paper determines the G-rigidity of the projective plane for every finite subgroup G⊂ PGL 3(C). © 2018, Springer International Publishing AG, part of Springer Nature.
URI
https://pr.ibs.re.kr/handle/8788114/10192
DOI
10.1007/s40879-018-0261-x
ISSN
2199-675X
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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