第二类Stiefel-Whitney上同调
The second Stiefel-Whitney classes of l-adic cohomology
摘要:
对于特征域上的偶数维真光滑簇,在第二Galois同调中定义了l-adic上同调的第二Stiefel-Whitney类和de Rham上同调的第二Hasse-Witt类.我们对它们之间的关系提出了一个猜想,并给出了几个证据。
英文摘要:
For a proper smooth variety of even dimension over a field of characteristic different from 2 or l, the second Stiefel-Whitney class of the l-adic cohomology and the second Hasse-Witt class of the de Rham cohomology are both defined in the second Galois homology. We state a conjecture on their relation and give several evidences.
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