ON THE BRAUER GROUP OF DIAGONAL CUBIC SURFACES

被引:9
作者
Uematsu, Tetsuya [1 ]
机构
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan
关键词
D O I
10.1093/qmath/hat013
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We are concerned with finding explicit generators of the Brauer group of diagonal cubic surfaces in terms of norm residue symbols, which was originally studied by Manin. We introduce the notion of uniform generators and find that the Brauer group of some classes of diagonal cubic surfaces have uniform generators. However, we also prove that the Brauer group of general diagonal cubic surfaces do not have such ones. This reveals that a result of Manin for certain diagonal cubic surfaces cannot be generalized in some sense.
引用
收藏
页码:677 / 701
页数:25
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