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Timeline for Punctured spectrums of local rings

Current License: CC BY-SA 3.0

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Aug 31, 2012 at 3:35 vote accept Fei YE
Aug 11, 2012 at 0:26 history edited user22479 CC BY-SA 3.0
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Mar 29, 2012 at 12:39 comment added user22479 Dear F.Y.: This requires nothing beyond understanding basic scheme-theoretic definitions, so it is better that you spend more time thinking about it by yourself. I will just point out a key feature which makes this genuinely different from the variety situation: a local scheme has only one closed point (and beware that this does not mean the punctured scheme has no closed points of its own, just that they're not closed in the local scheme; think about local rings at rational points on irreducible curves and surfaces, drawing some pictures for yourself). Good luck. Regards, q-c.
Mar 29, 2012 at 8:20 comment added Fei YE Thanks for your answer. I don't understand why the punctured spectrum is of smaller dimension. Can you explain it? Thanks!
Mar 29, 2012 at 4:26 history answered user22479 CC BY-SA 3.0