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Timeline for Curves of higher genus

Current License: CC BY-SA 3.0

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Apr 13, 2017 at 12:58 history edited CommunityBot
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Jan 27, 2016 at 15:10 vote accept J.S.R.
Jan 27, 2016 at 15:10 vote accept J.S.R.
Jan 27, 2016 at 15:10
Jan 27, 2016 at 15:10 vote accept J.S.R.
Jan 27, 2016 at 15:10
Jan 25, 2016 at 17:00 answer added stankewicz timeline score: 3
Jan 25, 2016 at 13:05 answer added abx timeline score: 6
Jan 25, 2016 at 12:32 comment added Ariyan Javanpeykar The Fermat curves $x^n+y^n+z^n =0$ are candidates. Their genus grows and their Jacobians have many extra automorphisms. For the Jacobian of a curve to be CM its dimension should match up with the rank of its endomorphism algebra, and that doesn't happen here for large $n$. On the other hand, the Jacobian of the Fermat curve does have CM quotients. This fact is exploited very often; see for instance Section III in jstor.org/stable/2946559?seq=1#page_scan_tab_contents or Lang's book on Complex Multiplication.
Jan 25, 2016 at 11:51 review First posts
Jan 25, 2016 at 12:00
Jan 25, 2016 at 11:51 history asked J.S.R. CC BY-SA 3.0