Asok--Fasel's exactness conjecture for the \mathbb{A}^1-homotopy sheaf sequence
Asok--Fasel's exactness conjecture for the \mathbb{A}^1-homotopy sheaf sequence
Let . Consider the sequence of strictly invariant sheaves
Asok--Fasel's exactness conjecture. The sequence
is exact and, after -fold contractions, is surjective on the right. This conjecture would imply the vanishing of the cohomology groups and considered in the source. Its status is not resolved in the supplied text.
Sources & referencesView supporting material
Primary source
Rakesh Pawar and Husney Parvez Sarwar, “Cancellation and splitting of Symplectic modules in the critical range and Euler class group”, arXiv:2312.15782 (2026).
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