Completely Reducible Ternary Cubic Forms

Published 6 Jul 2021 in math.AC | (2107.02325v1)

Abstract: We discuss various necessary and sufficient conditions for the complete reducibility of a ternary cubic form. In doing so, we prove the claim made in the 19th century that such a form is completely reducible if and only if its Hessian is a multiple of itself.

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Authors (1)

Gary Brookfield

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