Complements of hyperplane sub-bundles in projective spaces bundles over P1

被引:3
|
作者
Dubouloz, Adrien [1 ]
机构
[1] Univ Bourgogne, Inst Math Bourgogne, CNRS, F-21078 Dijon, France
关键词
SURFACES;
D O I
10.1007/s00208-014-1068-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish that the isomorphy type as an abstract algebraic variety of the complement of an ample hyperplane sub-bundle of a -bundle depends only on the -fold self-intersection of . In particular it depends neither on the ambient bundle nor on the choice of a particular ample sub-bundle with given -fold self-intersection. The proof exploits the unexpected property that every such complement comes equipped with the additional structure of an affine-linear bundle over the affine line with a double origin.
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页码:259 / 273
页数:15
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