Picard Groups and Class Groups of Monoid Schemes
Algebraic Geometry
2014-09-04 v2
Abstract
We define and study the Picard group of a monoid scheme and the class group of a normal monoid scheme. To do so, we develop some ideal theory for (pointed abelian) noetherian monoids, including primary decomposition and discrete valuations. The normalization of a monoid turns out to be a monoid scheme, but not always a monoid.
Cite
@article{arxiv.1306.4928,
title = {Picard Groups and Class Groups of Monoid Schemes},
author = {Jaret Flores and Charles Weibel},
journal= {arXiv preprint arXiv:1306.4928},
year = {2014}
}
Comments
14 pages