Timeline for General fiber of a rational map
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
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| Jun 10, 2021 at 18:34 | comment | added | R. van Dobben de Bruyn | @rmdmc89 yes! Smooth + connected $\Rightarrow$ irreducible. | |
| Jun 10, 2021 at 13:14 | comment | added | rmdmc89 | @R.vanDobbendeBruyn last question about $X$ smooth: what if the general fiber is connected? Is that enought to say it's irreducible? | |
| Jun 9, 2021 at 19:44 | comment | added | R. van Dobben de Bruyn | @rmdmc89 no, think about a finite morphism between smooth curves for example. | |
| Jun 8, 2021 at 17:05 | comment | added | rmdmc89 | @R.vanDobbendeBruyn About the theorem when $X$ is smooth, can we say furthermore that the general fiber is integral (i.e. reduced and irreducible)? I know that smooth implies reduced, but what about irreducibility? | |
| Jun 12, 2016 at 20:39 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Rearranged and simplified the argument.
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| Jun 11, 2016 at 23:15 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Clarified the first lemma.
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| Jun 11, 2016 at 23:07 | history | undeleted | R. van Dobben de Bruyn | ||
| Jun 11, 2016 at 23:05 | history | deleted | R. van Dobben de Bruyn | via Vote | |
| Jun 11, 2016 at 23:02 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Fixed another mistake.
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| Jun 11, 2016 at 22:16 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Remark on weakening the hypotheses.
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| Jun 11, 2016 at 22:13 | comment | added | R. van Dobben de Bruyn | @potentiallydense: Thanks, you're right. That didn't quite work. I fixed it now, at the expense of inserting some extra assumptions. | |
| Jun 11, 2016 at 22:08 | history | undeleted | R. van Dobben de Bruyn | ||
| Jun 11, 2016 at 22:08 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Small edit for positive characteristic
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| Jun 11, 2016 at 20:45 | history | deleted | R. van Dobben de Bruyn | via Vote | |
| Jun 11, 2016 at 20:03 | comment | added | Lazzaro Campeotti | What happens if $Y$ is a point and $X$ is singular? | |
| Jun 11, 2016 at 19:56 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Remark about generalisations.
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| Jun 11, 2016 at 19:38 | history | answered | R. van Dobben de Bruyn | CC BY-SA 3.0 |