Classification of strongly asymptotically log del Pezzo flags and surfaces

Abstract

We introduce the notion of strongly asymptotically log del Pezzo flags, and classify such flags under the assumption that their zero-dimensional part lies in the boundary. We use this result to give a new and conceptual proof of the classification of strongly asymptotically log del Pezzo surfaces, originally due to Cheltsov and the author.

v2: Sec. 3 has been rewritten. To appear in Int. J. Math

References in corpus (2)

• Smooth and singular Kahler-Einstein metrics
• High-dimensional convex sets arising in algebraic geometry