Abstract
We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof extends the Bogomolov-Hassett-Tschinkel approach, i.e., uses moduli spaces of stable maps and reduction to positive characteristic.
| Original language | English |
|---|---|
| Pages (from-to) | 713-727 |
| Number of pages | 15 |
| Journal | Inventiones Mathematicae |
| Volume | 188 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 2012 |
| Externally published | Yes |