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.
2017-01-01
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.File in questo prodotto:
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