Timeline for Does there exist a non-hyperelliptic Riemann surface with automorphism group $C_2\times A_4$?
Current License: CC BY-SA 3.0
5 events
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
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| May 29, 2016 at 3:07 | history | edited | Igor Rivin | CC BY-SA 3.0 |
added another reference
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| May 29, 2016 at 3:02 | comment | added | Igor Rivin | @NoamD.Elkies Your points are well taken... | |
| May 29, 2016 at 0:24 | comment | added | Noam D. Elkies | But an unramified double cover $C$ of a genus-3 curve $C$ does not necessarily have automorphism group $C_2 \times {\rm Aut}(C )$: even if the fixed-point-free involution is unique (is that automatic for $C'$ of genus $5$?), some automorphisms of $C$ might not lift to $C'$, and even if all of ${\rm Aut}( C)$ lifts to ${\rm Aut}(C')$ the resulting exact sequence $1 \to C_2 \to {\rm Aut}(C') \to {\rm Aut}(C ) \to 1$ might not split. | |
| May 28, 2016 at 23:15 | history | answered | Igor Rivin | CC BY-SA 3.0 |