Timeline for graph of elliptic curve inside projective space
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 24, 2011 at 18:12 | vote | accept | user13559 | ||
| May 24, 2011 at 18:06 | comment | added | Charles Matthews | I'm not quite sure in what terms to answer. "Writing as the graph of a function" for a relation is one way to pose the implicit function; which doesn't really belong in algebraic geometry as such. Perhaps you are looking for something like the Weierstrass preparation theorem, which gives a local picture for holomorphic functions. | |
| May 24, 2011 at 16:08 | comment | added | user13559 | Dear Charles, thanks for your nice comment. Lets think we are in a surface and locally C is the curve which is one of the axis in the point of intersection with the elliptic curve. Can we write the elliptic curve is the graph of some function like $z\to z^k$ for both case of (a) this intersection point is an inflection point of the elliptic curve. (b) this point is not the inflection point? | |
| May 24, 2011 at 15:48 | history | answered | Charles Matthews | CC BY-SA 3.0 |