Automorphisms of certain affine complements in projective space

被引：2

作者：

Pukhlikov, A. V. ^{[1
]}

机构：

[1] Univ Liverpool, Liverpool, Merseyside, England

来源：

SBORNIK MATHEMATICS | 2018年 / 209卷 / 02期

关键词：

affine complement; birational map; maximal singularity; COMPLETE-INTERSECTIONS; BIRATIONAL GEOMETRY; FANO HYPERSURFACES; SURFACES;

D O I：

10.1070/SM8839

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every biregular automorphism of the affine algebraic variety P-M \ S, M >= 3, where S subset of P-M is a hypersurface of degree m >= M + 1 with a unique singular point of multiplicity (m - 1), resolved by one blow up, is a restriction of some automorphism of the projective space P-M preserving the hypersurface S; in particular, for a general hypersurface S the group Aut(P-M \ S) is trivial.

引用

页码：276 / 289

页数：14

共 39 条

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