期刊
MATHEMATISCHE ANNALEN
卷 362, 期 1-2, 页码 451-484出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00208-014-1126-3
关键词
-
类别
资金
- NSF [DMS-0904223]
We introduce a strengthening of K-stability, based on filtrations of the homogeneous coordinate ring. This allows for considering certain limits of families of test-configurations, which arise naturally in several settings. We prove that if a manifold with no automorphisms admits a cscK metric, then it satisfies this stronger stability notion. We also discuss the relation with the birational transformations in the definition of -stability.
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