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[注:下文是群邮件的内容。]
《Galois cohomology》 J.P.S. p.72 * * * 12:20 In particular, we see that two seperable closures of k define cohomology groups H^q(ks/k, A) which correspond bijectively and canonically to each other. ---- k 的两个可分闭包定义上同调群 H^q(ks/k, A),它们彼此双射、规范地对应. . 评论:注意到名词复数,H^q(ks/k, A) 中 ks 应是指代两个可分闭包. . This allows us to drop the symbol ks and to write simply H^q(k, A). ---- 这允许省略符号 ks 而简单地写成 H^q(k, A). . The H^q(k, A) depend functorially on k. ---- H^q(k, A) 按函子方式依赖于 k. . 评论:H^q(ks/k, A) 对任何 ks 都是一回事,故简记为 H^q(k, A). . 小结:此段三句话,单讲 H^q(k, A). |
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