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Timeline for Binary Operation on a Cubic Surface

Current License: CC BY-SA 3.0

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Nov 24, 2017 at 7:23 comment added Will Sawin @Gro-Tsen I think in your version you have stated the question much better than I did.
Nov 23, 2017 at 15:49 comment added Gro-Tsen Manin's book is really about the composition law modulo certain equivalence relations on points, known as "admissible" equivalence relations (to ensure that the composition is always defined). These relations are very coarse, so I don't think it is too relevant here. I posted a practically identical question before I realized that this one exists, sorry for the duplicate.
May 9, 2013 at 15:37 comment added Will Sawin $f(P,P)$ is undefined. On an elliptic curve, it has a definite value, which is usually not $P$, but each point on a cubic surface is on many elliptic curves.
May 9, 2013 at 5:31 comment added Gerhard Paseman What is f(P,P)? I presume it will be P if you are serious about looking at the identities. Gerhard "Ask Me About System Design" Paseman, 2013.05.08
May 9, 2013 at 4:56 comment added Mariano Suárez-Álvarez (You should get the second edition)
May 9, 2013 at 4:50 comment added Mariano Suárez-Álvarez There is a book by Manin on, more or less, this subject: Cubic forms.
May 9, 2013 at 4:28 history asked Will Sawin CC BY-SA 3.0