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 families 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.

Waring loci and the Strassen conjecture / Carlini, E.; Catalisano, M. V.; Oneto, A.. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 314:(2017), pp. 630-662. [10.1016/j.aim.2017.05.008]

Waring loci and the Strassen conjecture

Oneto A.
2017

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 families 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.
Carlini, E.; Catalisano, M. V.; Oneto, A.
Waring loci and the Strassen conjecture / Carlini, E.; Catalisano, M. V.; Oneto, A.. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 314:(2017), pp. 630-662. [10.1016/j.aim.2017.05.008]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/264643
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