Timeline for Higher Composition Law
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Aug 1, 2011 at 19:27 | comment | added | user16007 | @Franz lemmermeyer Your book does not have the Elliptic curves chapter and the appendix. | |
| Nov 9, 2010 at 11:33 | comment | added | Franz Lemmermeyer | Given any group G and an element g in G, you can define a group law on G with neutral element g by demanding that ab = a+b-g. You can do the same on an elliptic curve, where you choose a flex point as your neutral element in order to make the group law as simple as possible. But this is just playing around with *the group law, and you gain nothing by trying to be as general as possible. | |
| Nov 9, 2010 at 7:03 | comment | added | M.B | @Franz: I think according to Theorem 1 of Bhargava's paper "Higher composition laws I" if $Q_{id,D}$ be any primitive binary quadratic form of discriminant $D$ such that there is a cube $A_0$ with $Q^{A0}_1= Q^{A0}_2=Q^{A0}_3=Q_{id,D}$ then there is a unique group law. For an specific $Q_{id,D}$ one can get usual Guass Composition Law. It seems that you have picked this specific case. I might be confused. | |
| Nov 9, 2010 at 5:59 | comment | added | Franz Lemmermeyer | M.B, what do you mean by "only Gauss composition"? | |
| Nov 9, 2010 at 4:26 | comment | added | M.B | @ Franz: Thanks for your note. It is great. It seems that in chapter "Bhargava Cube" you have developed only "Gauss Composition", of course with respect of "Bhargava Cube". | |
| Nov 8, 2010 at 14:37 | history | edited | Franz Lemmermeyer | CC BY-SA 2.5 |
I added a link
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| Nov 8, 2010 at 14:04 | comment | added | M.B | What you mean by "Give me a day or so and I will post a link to the relevant sections."? Is it possible to have your notes? | |
| Nov 8, 2010 at 13:44 | history | answered | Franz Lemmermeyer | CC BY-SA 2.5 |