English

Generation of modules and transcendence degree of zero-cycles

Algebraic Geometry 2015-06-11 v1 Commutative Algebra

Abstract

We construct an example of a regular algebra over C\mathbb C of dimension dd and a rank rr projective module over it which is not generated by d+r1d+r-1 elements. This strengthens an example by Swan over the field of real numbers.

Keywords

Cite

@article{arxiv.1210.0233,
  title  = {Generation of modules and transcendence degree of zero-cycles},
  author = {Sergey Gorchinskiy},
  journal= {arXiv preprint arXiv:1210.0233},
  year   = {2015}
}

Comments

5 pages