Projective invariants of quadratic embeddings
type: Item
instance of: scholarly article
title: Projective invariants of quadratic embeddings
zbMATH Open document ID: 0919.14032
author: F. L. Zak
published in: Mathematische Annalen
publication date: 1999-06-03T00:00:00Z
review text: In the paper under review we introduce new invariants of projective varieties which are particularly interesting (and always nontrivial) for varieties of small codimension (i.e. those varieties whose codimension does not exceed the dimension). These invariants measure the peculiar behavior of higher secant varieties of the quadratic embedding of our original variety. We study properties of these invariants and their relationship to the known invariants, give a classification of varieties extremal and nearly extremal with respect to these invariants, consider numerous examples, and discuss possible applications.
reviewed by: F. L. Zak
Mathematics Subject Classification ID: 14M07
Mathematics Subject Classification ID: 14E25
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14J40
zbMATH DE Number: 1295408
zbMATH Keywords: small codimension
zbMATH Keywords: higher secant varieties
zbMATH Keywords: quadratic embedding
MaRDI profile type: Publication
full work available at URL: s002080050271
OpenAlex ID: W1988790721
DOI: 10.1007/S002080050271
description: scientific article; zbMATH DE number 1295408