The equations defining Chow varieties
type: Item
instance of: scholarly article
title: The equations defining Chow varieties
zbMATH Open document ID: 0621.14028
DOI: 10.1215/S0012-7094-86-05339-1
author: Ian Morrison
author: Mark Green
published in: Duke Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The authors define the tangential Chow form of a variety \(W_ k\subset P_ N\) of dimension k, in \(G(N-n,N+1)\), where N-1\(\geq k\geq n\). They give an intrinsic geometric characterization of the tangential Chow forms. For a hypersurface \(X\subset G(N-n,N+1)\) with homogeneous equation F in the Plücker coordinates they give precise equations F must satisfy for X to be a Chow form. Finally, for \(X\subset G(2,4)\) they derive Cayley's condition on Chow forms of space curves.
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 14N05
zbMATH DE Number: 4006427
zbMATH Keywords: Grassmannian
zbMATH Keywords: tangential Chow form
reviewed by: Aigli Papantonopoulou
MaRDI profile type: Publication
full work available at URL: s0012-7094-86-05339-1
OpenAlex ID: W1964601457
description: scientific article; zbMATH DE number 4006427