Timeline for Rational curved lying in the boundary of Deligne-Mumford compactification $\bar M_g$
Current License: CC BY-SA 3.0
4 events
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Nov 6, 2012 at 22:00 | comment | added | Dmitri Panov | I see now my mistake (that led me to the question). I was assuming (without any reason) that Satake compactification of $M_g$ is a smooth space. And since Deligne-Mumford is birational to Stake compactification I was thinking that boundary divisors in $\bar M_g$ should be ruled since they have larger dimension than in Satke. This sounded strange to me. But now I see that Satake is singular and so not surprisingly its blow up does not need to contain additional rational curves. Thank you for the answer again. | |
Nov 6, 2012 at 21:54 | vote | accept | Dmitri Panov | ||
Nov 6, 2012 at 21:30 | vote | accept | Dmitri Panov | ||
Nov 6, 2012 at 21:35 | |||||
Nov 6, 2012 at 15:16 | history | answered | anon | CC BY-SA 3.0 |