Central Algebraic Geometry and Seminormality
Algebraic Geometry
2021-03-18 v1
Abstract
We develop the theory of central ideals on commutative rings. We introduce and study the central seminormalization of a ring in another one. This seminormalization is related to the theory of regulous functions on real algebraic varieties. We provide a construction of the central seminormalization by a decomposition theorem in elementary central gluings. The existence of a central seminormalization is established in the affine case and for real schemes.
Cite
@article{arxiv.2103.09610,
title = {Central Algebraic Geometry and Seminormality},
author = {Jean-Philippe Monnier},
journal= {arXiv preprint arXiv:2103.09610},
year = {2021}
}