Real spectrum with Nash structural sheaf
type: Item
instance of: scholarly article
title: Real spectrum with Nash structural sheaf
zbMATH Open document ID: 1062.14070
published in: Proceedings of the Japan Academy. Series A
publication date: 2003-01-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1116443606
review text: Using the definition of Nash structural sheaf over the real spectrum of a commutative ring given by \textit{M.-F. Roy} [in: Geométrie algébrique réelle et formes quadratiques, Lect. Notes Math. 959, 406--432 (1982; Zbl 0497.14009)] the author shows that the Nash structural sheaf is determined only by the underlying topological space. He gives easy descriptions of a stalk of this Nash sheaf and sections of this sheaf over an open basis. He also calculates the stalks and global sections of it in a restricted case. As an application, the author investigates some basic properties of ``separated'' morphisms of real schemes.
reviewed by: Corina Mohorianu
Mathematics Subject Classification ID: 14P20
Mathematics Subject Classification ID: 13J30
zbMATH DE Number: 2024717
zbMATH Keywords: real spectrum
zbMATH Keywords: Nash structural sheaf
author: Masato Fujita
MaRDI profile type: Publication
OpenAlex ID: W2049131668
cites work: Real strict localizations
cites work: Uniform bounds on complexity and transfer of global properties of Nash functions
cites work: Q4143433
cites work: Q3739243
cites work: Anneaux locaux henséliens
DOI: 10.3792/PJAA.79.36
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description: scientific article; zbMATH DE number 2024717