General strength equals general slice rank conjecture

At least 5 years old · documented by

Let ff be a general form of degree d≥2d\geq2 in n+1n+1 variables. Write str(f)\mathrm{str}(f) for its strength and sl.rkn,d∘\mathrm{sl.rk}_{n,d}^\circ for the general slice rank in degree dd on n+1n+1 variables. General strength conjecture.

str(f)=sl.rkn,d∘.\mathrm{str}(f)=\mathrm{sl.rk}_{n,d}^\circ.

The conjecture asserts equality between the general and maximal strength and the corresponding slice-rank value. Its status is not resolved in the source.

References

Primary source

Arthur Bik and Alessandro Oneto, “On the strength of general polynomials”, arXiv:2005.08617 (2021).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.