Timeline for Neron-Severi Lattice of Elliptic K3
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 27, 2011 at 15:55 | comment | added | Remke Kloosterman | Yes! Blowing up this point gives the image of the zero section. | |
| Jun 27, 2011 at 13:15 | comment | added | user4192 | I don't know if you'll see this, but I'm trying the second option (blowing up a hypersurface in weighted projective space), and running into some troubles. Here's what's confusing me: an elliptic curve in Weierstrass form $ y^2 z = x^3 + A x z^2 + B z^3 $ has distinguished point $[0,1,0]$. I would think choosing this point fiberwise would give the zero section $ s_0$. However, I don't see this point in the weighted projective model. Instead I see the distinguished point $ [1,1,0,0]$. Does blowing up this point correspond to choosing the "point at infinity" in each fiber? | |
| Jun 2, 2011 at 17:46 | vote | accept | user4192 | ||
| Jun 2, 2011 at 11:16 | history | answered | Remke Kloosterman | CC BY-SA 3.0 |