Timeline for When will the pushforward of a structure sheaf still be a structure sheaf?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 5, 2017 at 5:27 | comment | added | R. van Dobben de Bruyn | There are even worse counterexamples in characteristic $p > 0$, even when both $X$ and $Y$ are geometrically integral, smooth, etc. See my comment above. | |
| Oct 17, 2016 at 12:39 | comment | added | David Holmes | The claim `In general, if $f:X\to Y$ is a projective morphism with every fiber connected, and $Y$ is any normal variety, then $f_* \mathcal O_X = \mathcal O_Y$' needs the assumption that $X$ be reduced, see example in comment above. | |
| May 1, 2011 at 17:00 | vote | accept | YOURS | ||
| May 1, 2011 at 16:59 | vote | accept | YOURS | ||
| May 1, 2011 at 17:00 | |||||
| Apr 29, 2011 at 6:20 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
Added LaTeX to math stuff; added 12 characters in body
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| Apr 29, 2011 at 3:19 | history | answered | roy smith | CC BY-SA 3.0 |