Diophantine approximations and toric deformations
type: Item
instance of: scholarly article
title: Diophantine approximations and toric deformations
zbMATH Open document ID: 1087.11047
DOI: 10.1215/S0012-7094-03-11834-7
author: Roberto Ferretti
published in: Duke Mathematical Journal
publication date: 2003-10-13T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.dmj/1082744677
review text: Some time ago the reviewer and G. Wüstholz applied the (then new) product theorem in Diophantine approximation to subvarieties of projective spaces, and obtained a new proof of Schmidt's theorem (on linear forms). The exponents in these result where governed by invariants of filtered vector-spaces. The paper under review gives a systematic treatment of these invariants for subvarieties of projective spaces, mainly in terms of their Chow-forms. At the end the author gives many examples of the results which can be achieved by this method.
Mathematics Subject Classification ID: 11J25
Mathematics Subject Classification ID: 11J95
Mathematics Subject Classification ID: 14G40
Mathematics Subject Classification ID: 14M25
zbMATH DE Number: 1990938
zbMATH Keywords: Diophantine approximation
zbMATH Keywords: Chow-forms
MaRDI profile type: Publication
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OpenAlex ID: W2000463487
reviewed by: Gerd Faltings
description: scientific article; zbMATH DE number 1990938