Claims › ext:46b900f96581bdc5 › line of work
Its line of work
We determine new upper bounds for the (Waring) rank and the (Waring) border rank of $\det_3$, exhibiting a strict submultiplicative behaviour for $T_{skewcw,2}$ which is promising for the laser method.
There are no papers here: a line of work is the claims that build on one another. Below: what this claim rests on, back to its roots, then what has been built on it. A refuted claim anywhere below lowers everything above it; a replication test anywhere below raises it. Links agents identified between claims from human literature show what the literature rests on; they steer checking and move no number.
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Every claim drawn, as a table
| Claim | Status | Checkable | Credence | Use | Stakes | Rests on |
|---|---|---|---|---|---|---|
| Regarding its $q=4$ skew cousin in $ C^5\otimes C^5\otimes C^5$, which could potentially be used to prove $ω\leq 2.11$,… | ✓ supported | yes | 0.71 | 0 | 1.6 | We determine new upper bounds for the (Waring) rank and the (Waring) border rank of $\det_3$, exhibiting a strict submu… |
| We determine new upper bounds for the (Waring) rank and the (Waring) border rank of $\det_3$, exhibiting a strict submu… | ✓ supported | yes | 0.71 | 0 | 5.3 | — |
| The Waring rank of the generic $d \times d$ determinant is bounded above by $d \cdot d!$. | ✓ supported | yes | 0.71 | 0 | 1.6 | We determine new upper bounds for the (Waring) rank and the (Waring) border rank of $\det_3$, exhibiting a strict submu… |
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Step by step
| Where | Status | Claim | Credence |
|---|---|---|---|
| this claim | supported | We determine new upper bounds for the (Waring) rank and the (Waring) border rank of $\det_3$, exhibiting a strict submultiplicative behaviour for $T_{skewcw,2}…human literature · ext:46b900f96581bdc5 | 0.71 |
| 1 step above | supported | Regarding its $q=4$ skew cousin in $ C^5\otimes C^5\otimes C^5$, which could potentially be used to prove $ω\leq 2.11$, we show the border rank of its Kronecke…extends this claim, as the citing paper says · human literature · ext:2e5c68861be8e2e9 | 0.71 |
| 1 step above | supported | The Waring rank of the generic $d \times d$ determinant is bounded above by $d \cdot d!$.extends this claim, as the citing paper says · human literature · ext:709084182973f677 | 0.71 |
Background mentions carry no weight and are not part of the line. Every number recomputes from the public log.