Skip to Main content Skip to Navigation
New interface
Journal articles

Tensor ranks on tangent developable of Segre varieties

Edoardo Ballico 1 Alessandra Bernardi 2 
2 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (1965 - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : We describe the stratification by tensor rank of the points belonging to the tangent developable of any Segre variety. We give algorithms to compute the rank and a decomposition of a tensor belonging to the secant variety of lines of any Segre variety. We prove Comon's conjecture on the rank of symmetric tensors for those tensors belonging to tangential varieties to Veronese varieties.
Document type :
Journal articles
Complete list of metadata

Cited literature [26 references]  Display  Hide  Download
Contributor : Alessandra Bernardi Connect in order to contact the contributor
Submitted on : Monday, November 28, 2011 - 6:35:50 PM
Last modification on : Thursday, August 4, 2022 - 4:52:37 PM
Long-term archiving on: : Thursday, March 30, 2017 - 7:42:15 PM


Files produced by the author(s)




Edoardo Ballico, Alessandra Bernardi. Tensor ranks on tangent developable of Segre varieties. Linear and Multilinear Algebra, 2012, ⟨10.1080/03081087.2012.716430⟩. ⟨inria-00610362v2⟩



Record views


Files downloads