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Some Examples of Forms of High Rank by Buczyński, Jarosław; Teitler, Zach is a scholarly article available to read on EtoBox.

What is Some Examples of Forms of High Rank about?

We describe some forms with greater Waring rank than previous examples. In $3$ variables we give forms of odd degree with strictly greater rank than the ranks of monomials, the previously highest known rank. This narrows the possible range of values of the maximum Waring rank of forms in $3$ variables. In $4$ variables we give forms of odd degree with strictly greater than generic rank. In degrees greater than or equal to $5$ these are the first examples showing that there exist forms with Waring rank strictly greater than the generic value.

Author

Buczyński, Jarosław; Teitler, Zach

Published

2015

Language

EN