We exhibit, for each positive even degree, a ternary form of rank strictly greater than the maximum rank of monomials. Together with an earlier result in the odd case, this gives a lower bound of floor of (d^2+2d+5)/4,for d>=2, on the maximum rank of degree d ternary forms with coefficients in an algebraically closed field of characteristic zero.
High-rank ternary forms of even degree
DE PARIS, ALESSANDRO
2017-01-01
Abstract
We exhibit, for each positive even degree, a ternary form of rank strictly greater than the maximum rank of monomials. Together with an earlier result in the odd case, this gives a lower bound of floor of (d^2+2d+5)/4,for d>=2, on the maximum rank of degree d ternary forms with coefficients in an algebraically closed field of characteristic zero.File in questo prodotto:
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