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Apr 13, 2017 at 12:58 history edited CommunityBot
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Jan 17, 2016 at 16:02 comment added Martin Brandenburg Let me mention that one can describe $X \times_Y X$ as a locally ringed space explicitly (see arxiv.org/pdf/1103.2139v1.pdf for instance) and this gives a very explicit description of monomorphisms (using the condition that $X \to X \times_Y X$ is an isomorphism). But I haven't seen it in practice so far.
Jul 6, 2012 at 9:33 history edited Martin Brandenburg CC BY-SA 3.0
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Feb 25, 2011 at 16:28 vote accept Phillip Williams
Feb 25, 2011 at 8:23 history edited Martin Brandenburg CC BY-SA 2.5
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Feb 25, 2011 at 8:16 comment added Lorenzo Nice and complete answer! I particularly like the criterion (2). I add an example parallel to the last one: In EGA IV, 17.9.1 it's proved that the étale monomorphisms are exactly the open immersions.
Feb 25, 2011 at 7:59 history edited Martin Brandenburg CC BY-SA 2.5
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Feb 25, 2011 at 7:52 history edited Martin Brandenburg CC BY-SA 2.5
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Feb 25, 2011 at 7:47 history answered Martin Brandenburg CC BY-SA 2.5