Timeline for Curves with negative self intersection in the product of two curves
Current License: CC BY-SA 3.0
3 events
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Jun 3, 2011 at 23:43 | comment | added | Sándor Kovács | No. $C'\times C'$ clearly maps to that Kummer. I was confused by something else, but I see the mistake I made. Sorry. | |
Jun 3, 2011 at 23:41 | comment | added | Jorge Vitório Pereira | Very nice! It is perhaps simpler to start with a genus 2 curve with Jacobian isogeneous to the square of an elliptic curve. Since these abelian varieties have infinitely many elliptic curves with self-intersection zero through 0, theirs blow-ups have infinitely many negative elliptic curves. | |
Jun 3, 2011 at 21:40 | history | answered | Dmitri Panov | CC BY-SA 3.0 |