Timeline for Why is an elliptic curve a group?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 8, 2010 at 21:52 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
changed "closed" to "rational"
|
| Nov 28, 2009 at 1:44 | comment | added | S. Carnahan♦ | To elaborate: an elliptic curve over a scheme S is a scheme E, a morphism f: E -> S, and a morphism g: S -> E, such that fg is the identity on S, and the geometric fibers of f are genus one curves. The canonical embedding of an elliptic curve into its Jacobian is an isomorphism. This is one of several places where Hartshorne disagrees with the rest of the universe. | |
| Nov 28, 2009 at 1:28 | comment | added | S. Carnahan♦ | An elliptic curve is generally defined to be a genus one curve equipped with a distinguished point, rather than a plain genus one curve. | |
| Nov 26, 2009 at 5:41 | history | answered | Steven Sam | CC BY-SA 2.5 |