Hybrid convergence of K\'ahler-Einstein measures
| Autor: | Pille-Schneider, Léonard |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.5802/aif.3455 |
| Popis: | We compute the hybrid limit (in the sense of Boucksom-Jonsson) of the family of K\"ahler-Einstein volume forms on a degeneration of canonically polarized manifolds. The limit measure is a weighted sum of Dirac masses at divisorial valuations, determined by the natural algebro-geometric limit of the family. We also make some remarks on the non-archimedean Monge-Amp\`ere operator and hybrid continuity of K\"ahler-Einstein potentials in this context. |
| Databáze: | arXiv |
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