Asymptotically conical Ricci flat Kähler metrics on ${\mathbb{C}}^2$ with cone singularities along a complex curve

Abstract

We prove an existence theorem for Asymptotically Conical Ricci Flat Kahler metrics in ${\mathbb{C}}^2$ with cone singularities along a smooth complex curve. These metrics are expected to arise as blow up limits of non collapsed sequences of Kahler Einstein metrics with cone singularities.

New exposition. Typos corrected. The mathematical content and arguments remain the same

References in corpus (2)

• Asymptotically conical Calabi-Yau manifolds, I
• Smooth and singular Kahler-Einstein metrics