Waring loci and the Strassen conjecture

Abstract : The Waring locus of a form F is the collection of the degree one forms appearing in some minimal sum of powers decomposition of F. In this paper, we give a complete description of Waring loci for several family of forms, such as quadrics, monomials, binary forms and plane cubics. We also introduce a Waring loci version of Strassen's Conjecture, which implies the original conjecture, and we prove it in many cases.
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

https://hal.inria.fr/hal-01589890
Contributor : Oneto Alessandro <>
Submitted on : Tuesday, September 19, 2017 - 11:12:15 AM
Last modification on : Wednesday, October 10, 2018 - 10:10:18 AM

File

24JAN2017WaringLocus.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Enrico Carlini, Maria Catalisano, Alessandro Oneto. Waring loci and the Strassen conjecture. Advances in Mathematics, Elsevier, 2017, 314, pp.630 -- 662. ⟨10.1016/j.aim.2017.05.008⟩. ⟨hal-01589890⟩

Share

Metrics

Record views

478

Files downloads

117