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On generic and maximal k-ranks of binary forms
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-1866-4417
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-8438-3971
Number of Authors: 42019 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 223, no 5, p. 2062-2079Article in journal (Refereed) Published
Abstract [en]

In what follows, we pose two general conjectures about decompositions of homogeneous polynomials as sums of powers. The first one (suggested by G. Ottaviani) deals with the generic k-rank of complex-valued forms of any degree divisible by k in any number of variables. The second one (by the fourth author) deals with the maximal k-rank of binary forms. We settle the first conjecture in the cases of two variables and the second in the first non-trivial case of the 3-rd powers of quadratic binary forms.

Place, publisher, year, edition, pages
2019. Vol. 223, no 5, p. 2062-2079
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Mathematics
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URN: urn:nbn:se:su:diva-166643DOI: 10.1016/j.jpaa.2018.08.015ISI: 000457515300012OAI: oai:DiVA.org:su-166643DiVA, id: diva2:1296337
Available from: 2019-03-14 Created: 2019-03-14 Last updated: 2019-12-17Bibliographically approved

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Lundqvist, SamuelOneto, AlessandroShapiro, Boris
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