2 problems

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Conjecture on determinantal equations of eigenschemes of symmetric tensors
Let $n\geq 2$ . For a homogeneous polynomial $f\in\mathbb{C}[x_0,\dots,x_n]_d$ , let $E(f)$ denote its eigenscheme. Consider a set…
Conjectureopenalgebraic-geometry eigenschemes symmetric-tensorsarXiv posted 2 days ago
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Divisibility of the Hurwitz form by the eigendiscriminant
Divisibility conjecture. Restricted to the $3$ -planes coming from eigenschemes, the eigendiscriminant divides the Hurwitz form.
Conjectureopencubic-surfaces discriminants eigenschemesarXiv posted 2 days ago

Conjecture on determinantal equations of eigenschemes of symmetric tensors