Affine schemes and topological closures in the Zariski-Riemann space of valuation rings

作者:Olberding Bruce*
来源:Journal of Pure and Applied Algebra, 2015, 219(5): 1720-1741.
DOI:10.1016/j.jpaa.2014.07.009

摘要

Let F be a field, let D be a subring of F, and let x be the Zariski-Riemann space of valuation rings containing D and having quotient field F. We consider the Zariski, inverse and patch topologies on x when viewed as a projective limit of projective integral schemes having function field contained in F, and we characterize the locally ringed subspaces of x that are affine schemes.

  • 出版日期2015-5