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Symmetric Tensor Rank and Scheme Rank : An Upper Bound in terms of Secant Varieties
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-08
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
Let X⊂ℙr be an integral and nondegenerate variety.
Let c be the minimal integer such that ℙr is the c-secant variety of X, that is, the minimal integer c such that for a general O∈ℙr there is S⊂X with #(S)=c and O∈〈S〉, where 〈 〉 is the linear span.
Here we prove that for every P∈ℙr there is a zero-dimensional scheme Z⊂X such that P∈〈Z〉 and deg(Z)≤2c; we may take Z as union of points and tangent vectors of Xreg.
American Psychological Association (APA)
Ballico, Edoardo. 2013. Symmetric Tensor Rank and Scheme Rank : An Upper Bound in terms of Secant Varieties. Geometry،Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-485209
Modern Language Association (MLA)
Ballico, Edoardo. Symmetric Tensor Rank and Scheme Rank : An Upper Bound in terms of Secant Varieties. Geometry No. 2013 (2013), pp.1-3.
https://search.emarefa.net/detail/BIM-485209
American Medical Association (AMA)
Ballico, Edoardo. Symmetric Tensor Rank and Scheme Rank : An Upper Bound in terms of Secant Varieties. Geometry. 2013. Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-485209
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485209