Fonctionne avec Indico
v3.2.9
Building on an idea of Borcherds, Katzarkov, Pantev, and Shepherd-Barron, we prove that the moduli space of polarized K3 surfaces of degree 2e contains complete curves for all $e \geq 62$ and for some sporadic lower values of e (starting at 14). We also construct complete curves in the moduli spaces of polarized hyper-Kähler manifolds of $K3^{[n]}$-type or Kum_n-type for all $n\geq 1$ and polarizations of various degrees and divisibilities. This is joint work with Emanuele Macrì.