Timeline for Relating the holomorphic Euler characteristic of a family of algebraic varieties to properties of the base and fibers
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| May 3, 2022 at 16:24 | vote | accept | Will Chen | ||
| Apr 14, 2022 at 18:03 | history | edited | Will Chen | CC BY-SA 4.0 |
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| Apr 14, 2022 at 17:53 | history | edited | Will Chen | CC BY-SA 4.0 |
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| Apr 10, 2022 at 20:13 | history | edited | Will Chen | CC BY-SA 4.0 |
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| Apr 10, 2022 at 20:07 | comment | added | Will Chen | @PiotrAchinger Sure, I'd be happy for an answer in the case of smooth $X$. | |
| Apr 9, 2022 at 22:12 | answer | added | Donu Arapura | timeline score: 5 | |
| Apr 9, 2022 at 15:09 | comment | added | Will Chen | @JasonStarr Remy is right - $\chi(X_{y_0},\mathcal{O}_{X_{y_0}})$ would be fine, but $\chi(X, \mathcal{O}_X(X_{y_0}))$ wouldn't be, unless it can somehow be expressed in terms of data which is local on $Y$. | |
| Apr 9, 2022 at 14:12 | comment | added | R. van Dobben de Bruyn | @JasonStarr I imagine $\chi(X_{y_0},\mathcal O_{X_{y_0}})$ would be allowed as it is 'fibral', but not $\chi(X,\mathcal O_X(X_{y_0}))$ as it is 'global' on $X$. | |
| Apr 9, 2022 at 7:42 | comment | added | Piotr Achinger | Are you willing to assume that $X$ (not $f$) is smooth? | |
| Apr 9, 2022 at 0:31 | comment | added | Jason Starr | I am trying to understand how your "nonexample" is not an example. What kind of formula do you envision when $X$ equals $Y\times Z$ if you are not allowing $\chi(Z,\mathcal{O}_Z)$ as part of your formula? | |
| Apr 8, 2022 at 20:30 | history | edited | Will Chen | CC BY-SA 4.0 |
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| Apr 8, 2022 at 19:48 | history | edited | Will Chen | CC BY-SA 4.0 |
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| Apr 8, 2022 at 19:05 | history | asked | Will Chen | CC BY-SA 4.0 |