English

On the Brauer group of affine diagonal quadrics

Algebraic Geometry 2015-03-19 v2

Abstract

In a previous work, we introduced the notion of uniform generators of the Brauer group and proved that general diagonal cubic surfaces do not have such generators. In this paper, we prove that a similar non-existence result holds for affine diagonal quadrics.

Keywords

Cite

@article{arxiv.1412.1240,
  title  = {On the Brauer group of affine diagonal quadrics},
  author = {Tetsuya Uematsu},
  journal= {arXiv preprint arXiv:1412.1240},
  year   = {2015}
}

Comments

12 pages, comments are welcome; corrected typos. arXiv admin note: text overlap with arXiv:1412.0087