On certain arithmetical invariants of Fermat varieties
type: Item
instance of: scholarly article
title: On certain arithmetical invariants of Fermat varieties
zbMATH Open document ID: 0593.14024
DOI: 10.1016/0021-8693(86)90102-X
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: Let \(q=p^ f\), where \(p\) is a prime. Let \(X(r,m)\) be the Fermat variety of dimension \(r\) and degree \(m\) defined over \(\mathbb F_ q\). Fix \(m\). Then the author proves that certain arithmetical invariants of \(X(r,m)\) depend only on the class of \(p\) modulo \(m\). These invariants include the stable rank and Picard number of the variety. Generalizations to products and quotients of Fermat varieties are also given.
reviewed by: David Goss
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 14C22
Mathematics Subject Classification ID: 14G10
zbMATH DE Number: 3952947
zbMATH Keywords: finite ground field
zbMATH Keywords: Fermat variety
zbMATH Keywords: stable rank
zbMATH Keywords: Picard number
author: Noriko Yui
MaRDI profile type: Publication
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full work available at URL: 0021-8693(86)90102-x
OpenAlex ID: W2093316292
description: scientific article; zbMATH DE number 3952947