DEGENERATIONS OF C-n AND CALABI-YAU METRICS

摘要

We construct infinitely many complete Calabi-Yau metrics on C-n for n >= 3, with maximal volume growth and singular tangent cones at infinity. In addition, we construct Calabi-Yau metrics in neighborhoods of certain isolated singularities whose tangent cones have singular cross section, generalizing work of Hein and Naber.