Explicit sparse Yagzhev lift compresses a construction to 19 dimensions
SirrahChan · x · 2026-07-22
A new explicit sparse Yagzhev lift lands in dimension 19
The post describes a new normalization of a 11-variable degree-3 map from Joe Atkins-Turkish (Spacerat) into Phi' = X + Q + C, with only 7 nonzero cubic components.
Key points from the construction:
- auxiliaries are added only for those 7 cubic components, plus one Segre variable
- total dimension becomes 19 via 11 + 7 + 1 = 19
- this improves on prior explicit Yagzhev realizations, which went from 79 dimensions down to 19
- the slide claims an explicit sparse Yagzhev lift with det G = 1 while the map is still not injective
The image also compares several located public constructions and shows that the new note matches the best known explicit dimension in the table.
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