Timeline for Group over algebraic curves having genus greater than 1
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Nov 7, 2018 at 2:31 | comment | added | user19475 | @AlbertoMontina: $\mathbf{G}_a$ and $\mathbf{G}_m$ are not proper. | |
| Nov 6, 2018 at 19:44 | comment | added | Alm | Concerning your answer, there is something that I didn’t get. Algebraic groups can be built also on curves with genus 0, whereas you end up with g=1. For example, a line has a natural group where the group law is given by summing each coordinate (provided that line passes through the origin). What did I miss? | |
| Jul 24, 2018 at 22:40 | vote | accept | Alm | ||
| Jul 23, 2018 at 20:22 | vote | accept | Alm | ||
| Jul 24, 2018 at 22:40 | |||||
| Jul 21, 2018 at 7:42 | history | edited | user19475 | CC BY-SA 4.0 |
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| Jul 19, 2018 at 10:50 | history | edited | user19475 | CC BY-SA 4.0 |
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| Jul 19, 2018 at 9:48 | comment | added | user19475 | I think you're right: One needs properness since $\mathrm{H}^i_c(\mathbf{G}_a,\mathbf{Q}_\ell)$ is non-trivial only in dimension $i = 2$. | |
| Jul 19, 2018 at 8:37 | history | edited | user19475 | CC BY-SA 4.0 |
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| Jul 19, 2018 at 8:34 | comment | added | Francesco Polizzi | It seems to me that the topological formula $\chi(G)=2g-2$ only works over $\mathbb{Q}$ and in the proper case. | |
| Jul 19, 2018 at 8:29 | history | edited | user19475 | CC BY-SA 4.0 |
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| Jul 19, 2018 at 8:19 | comment | added | user19475 | Is there also a Lefschetz fixed point formula for étale cohomology with compact supports? Then one could drop the assumption "proper". | |
| Jul 19, 2018 at 8:14 | history | edited | user19475 | CC BY-SA 4.0 |
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| Jul 19, 2018 at 8:12 | history | answered | user19475 | CC BY-SA 4.0 |