On integral schemes over symmetric monoidal categories
Algebraic Geometry
2016-05-17 v2
Abstract
We propose notions of "Noetherian" and "integral" for schemes over an abelian symmetric monoidal category . For Noetherian integral schemes, we construct a "function field" that is a commutative monoid object of . Under certain conditions, we show that a Noetherian scheme over is integral if and only if it is reduced and irreducible.
Keywords
Cite
@article{arxiv.1506.04890,
title = {On integral schemes over symmetric monoidal categories},
author = {Abhishek Banerjee},
journal= {arXiv preprint arXiv:1506.04890},
year = {2016}
}
Comments
One result added from previous version. This paper will not be published in its present form. The results and methods herein will be subsumed into two further papers