2 problems

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Generic-rank conjecture for simultaneous Waring decompositions
About 3 years old
Generic simultaneous Waring rank conjecture. The complex simultaneous Waring rank of a general polynomial vector is
opensecant-varieties simultaneous-waring tensor-rank
08
Conjecture on simultaneous Waring identifiability for ternary forms of consecutive degrees
At least 2 years old
Simultaneous Waring identifiability conjecture. The polynomial vector admits a unique simultaneous Waring decomposition with
opensimultaneous-waring tensor-identifiability ternary-forms
010

Generic-rank conjecture for simultaneous Waring decompositions