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On stably trivial spin torsors over low-dimensional schemes. (arXiv:1704.07768v1 [math.AG])
来源于:arXiv
The paper discusses stably trivial torsors for spin and orthogonal groups
over smooth affine schemes over infinite perfect fields of characteristic
unequal to 2. We give a complete description of all the invariants relevant for
the classification of such objects over schemes of dimension at most $3$, along
with many examples. The results are based on the
$\mathbb{A}^1$-representability theorem for torsors and transfer of known
computations of $\mathbb{A}^1$-homotopy sheaves along the sporadic isomorphisms
to spin groups. 查看全文>>