Progress on the symmetric Strassen conjecture

Enrico Carlini; Maria Virginia Catalisano; Luca Chiantini

doi:10.1016/j.jpaa.2014.10.006

Progress on the symmetric Strassen conjecture

Enrico Carlini, Maria Virginia Catalisano, Luca Chiantini

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

15 Citations (Scopus)

Abstract

Let F and G be homogeneous polynomials in disjoint sets of variables. We prove that the Waring rank is additive, thus proving the symmetric Strassen conjecture, when either F or G is a power, or F and G have two variables, or either F or G has small rank.

Original language	English
Pages (from-to)	3149-3157
Number of pages	9
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	8
DOIs	https://doi.org/10.1016/j.jpaa.2014.10.006
Publication status	Published - 2015

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title = "Progress on the symmetric Strassen conjecture",

abstract = "Let F and G be homogeneous polynomials in disjoint sets of variables. We prove that the Waring rank is additive, thus proving the symmetric Strassen conjecture, when either F or G is a power, or F and G have two variables, or either F or G has small rank.",

author = "Enrico Carlini and Catalisano, {Maria Virginia} and Luca Chiantini",

year = "2015",

doi = "10.1016/j.jpaa.2014.10.006",

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T1 - Progress on the symmetric Strassen conjecture

AU - Carlini, Enrico

AU - Catalisano, Maria Virginia

AU - Chiantini, Luca

PY - 2015

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AB - Let F and G be homogeneous polynomials in disjoint sets of variables. We prove that the Waring rank is additive, thus proving the symmetric Strassen conjecture, when either F or G is a power, or F and G have two variables, or either F or G has small rank.

UR - http://www.sciencedirect.com/science/article/pii/S0022404914002874/pdfft?md5=b710d047ea13344fbb2e3bbfd982add0&pid=1-s2.0-S0022404914002874-main.pdf

U2 - 10.1016/j.jpaa.2014.10.006

DO - 10.1016/j.jpaa.2014.10.006

M3 - Article

VL - 219

SP - 3149

EP - 3157

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 8

ER -