Timeline for Smooth variety contained in another smooth variety
Current License: CC BY-SA 3.0
8 events
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| Feb 23, 2012 at 12:45 | comment | added | Karl Schwede | Perhaps one should also point out that you can always guarantee that $H$ is irreducible (also by Bertini). You can also guarantee that $H$ is normal I think, so at least $X$ is a Weil divisor on $H$. | |
| Feb 23, 2012 at 12:34 | comment | added | Karl Schwede | Parsa, that's true. Or for each point $z$ of $X$, you can find one that is smooth near $z$ (but then they don't glue). | |
| Feb 23, 2012 at 7:27 | comment | added | Parsa | Thank you Karl. So what you're saying is that I can find an irreducible hypersurface containing $X$ that is smooth away from $X$, even if $X$ is not a complete intersection? | |
| Feb 23, 2012 at 4:35 | history | edited | Karl Schwede | CC BY-SA 3.0 |
Fixed a reference
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| Feb 23, 2012 at 1:13 | history | undeleted | Karl Schwede | ||
| Feb 23, 2012 at 0:42 | history | deleted | Karl Schwede | ||
| Feb 22, 2012 at 22:50 | history | edited | Karl Schwede | CC BY-SA 3.0 |
added 103 characters in body; deleted 40 characters in body; edited body; deleted 2 characters in body
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| Feb 22, 2012 at 22:41 | history | answered | Karl Schwede | CC BY-SA 3.0 |