Timeline for Torus gerbes over curves
Current License: CC BY-SA 4.0
10 events
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| Jan 13, 2023 at 21:11 | history | edited | YCor | CC BY-SA 4.0 |
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| Jan 13, 2023 at 20:38 | vote | accept | lzww | ||
| Jan 13, 2023 at 20:12 | history | edited | Mikhail Borovoi |
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| Jan 13, 2023 at 20:00 | answer | added | Jason Starr | timeline score: 3 | |
| Jan 13, 2023 at 2:32 | comment | added | David Benjamin Lim | Alternative argument. Define $k := K(C)$. By Lemma 2.1.3(iv) of Tate Duality in Positive Dimension over Function Fields, we may assume that $T$ sits in an exact sequence $$1 \to H \to G \times R_{k'/k}(T') \to T \to 1$$ for some finite extension $k'/k$ and $H,G$ finite, commutative $k$-group schemes and $T'$ a split $k'$-torus, and then you're done. | |
| Jan 13, 2023 at 1:46 | comment | added | Jason Starr | Welcome new contributor. Yes, that is true. You can prove it by first proving that every torus embeds in an induced torus. You can also deduce it from the Koll'ar-Miyaoka-Mori conjecture. | |
| Jan 13, 2023 at 1:40 | history | edited | lzww | CC BY-SA 4.0 |
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| Jan 13, 2023 at 1:38 | history | edited | lzww |
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| S Jan 13, 2023 at 1:34 | review | First questions | |||
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| S Jan 13, 2023 at 1:34 | history | asked | lzww | CC BY-SA 4.0 |