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Clemen--Dumitrescu--Liu layer criterion, source correction


Source correction

The actual statement of Clemen--Dumitrescu--Liu, Theorem 1.3, is

min⁡{32(h+s),43h+2s,2h+s}≤n,\min\{\tfrac32(h+s),\tfrac43h+2s,2h+s\}\le n,

where h=∣L1∣h=|L_1| and s=∣L2∣s=|L_2|. The supplied digest swaps some coefficients. The statement was checked in the full supplied paper and the arXiv version.

There is a separate arithmetic slip in the supplied full transcription, Section 2.2. After e(L1′,L2′)=2∣L2′∣e(L'_1,L'_2)=2|L'_2|, the identity is

2∣L1′∣−12e(L1′,L2′)=2∣L1′∣−∣L2′∣,2|L'_1|-\tfrac12 e(L'_1,L'_2)=2|L'_1|-|L'_2|,

not 2∣L1′∣−2∣L2′∣2|L'_1|-2|L'_2|. The final theorem is unaffected.