Resultant multiplicity via projective degrees and applications to tensor eigenvalues

Mahmut Levent Doğan, Elias Tsigaridas, Zafeirakis Zafeirakopoulos

Given a system $\mathbf{f}=(f_1,\dots ,f_n)$ of $n$ homogeneous forms in $n$ variables of the same degree, Macaulay's resultant vanishes precisely when the polynomials have a commo…