期刊
JOURNAL OF SYMPLECTIC GEOMETRY
卷 12, 期 1, 页码 125-169出版社
INT PRESS BOSTON, INC
DOI: 10.4310/JSG.2014.v12.n1.a5
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资金
- Marie Curie International Reintegration Grant within the 7th European Community Framework Program [PIRG-GA-2008-230920]
Starting with the data of a curve of singularity types, we use the Legendre transform to construct weak geodesic rays in the space of locally bounded metrics on an ample line bundle L over a compact manifold. Using this we associate weak geodesics to suitable filtrations of the algebra of sections of L. In particular this works for the natural filtration coming from an algebraic test configuration, and we show how this recovers the weak geodesic ray of Phong-Sturm.
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