Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897648 | Journal of Pure and Applied Algebra | 2018 | 13 Pages |
Abstract
Let A be the local ring at a point of a normal complex variety with completion R=AË. Srinivas has asked about the possible images of the induced map ClAâClR over all geometric local normal domains A with fixed completion R. We use Noether-Lefschetz theory to prove that all finitely generated subgroups are possible in some familiar cases. As a byproduct we show that every finitely generated abelian group appears as the class group of the local ring at the vertex of a cone over some smooth complex variety of each positive dimension.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
John Brevik, Scott Nollet,