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
6 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 22:08 | history | edited | Donu Arapura | CC BY-SA 4.0 |
added 247 characters in body
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| Apr 14, 2022 at 22:08 | comment | added | Donu Arapura | @WillChen Yes, I added more explanation. | |
| Apr 14, 2022 at 17:54 | comment | added | Will Chen | Thank you for this! It looks like Kodaira surfaces are not algebraic? Do you know of an algebraic example? (I've also edited the question to make it more precise). | |
| Apr 10, 2022 at 23:29 | comment | added | R. van Dobben de Bruyn | Somehow the point is that the Euler characteristic of a rank $n$ vector bundle is not just $n\chi(X,\mathcal O_X)$, but also depends on global data like the degree. By contrast (and somewhat to my surprise), for local systems the situation is much easier: $\chi(X,\mathcal L) = \operatorname{rk}(\mathscr L)\chi(X,\underline{\mathbf Q})$. | |
| Apr 9, 2022 at 22:12 | history | answered | Donu Arapura | CC BY-SA 4.0 |