Determinantal representations of the cubic discriminant
We compute and study two determinantal representations of the discriminant of a cubic quaternary form. The first representation is computed via constructing a Chow complex for an Ulrich bundle on $2$-uple embedding of $\mathbb{P}^3$. We then consider the determinantal representation described by Nanson. We investigate the geometric nature of cubic surfaces whose discriminant matrices satisfy certain rank conditions. As a special case of interest, we use certain minors of this matrix to suggest equations vanishing on the locus of $k$-nodal cubic surfaces.
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Dominic Bunnett (add twitter)
Hanieh Keneshlou (add twitter)
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Mathematics - Algebraic Geometry

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09/12/19 06:03PM
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kipc1594: RT @mathAGb: Dominic Bunnett, Hanieh Keneshlou : Determinantal representations of the cubic discriminant https://t.co/Ipx8DLsmXG https://t.…
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