CENTRAL ALGEBRAIC GEOMETRY AND SEMINORMALITY - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2021

CENTRAL ALGEBRAIC GEOMETRY AND SEMINORMALITY

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.
Fichier principal
Vignette du fichier
CentralSeminormality.pdf (537.03 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03169240 , version 1 (15-03-2021)

Identifiers

Cite

Jean-Philippe Monnier. CENTRAL ALGEBRAIC GEOMETRY AND SEMINORMALITY. 2021. ⟨hal-03169240⟩
52 View
53 Download

Altmetric

Share

Gmail Facebook X LinkedIn More