科研之友
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摘要
Using exhaustion properties of invariant plurisubharmonic functions along with basic combinatorial information on toric varieties, we prove convergence results for sequences of densities vertical bar phi(n)vertical bar(2) = vertical bar s(N)vertical bar(2)/parallel to s(N)parallel to(2)(L2) for eigensections s(N) is an element of Gamma(X, L-N) approaching a semiclassical ray. Here X is a normal compact toric variety and L is an ample line bundle equipped with an arbitrary positive bundle metric which is invariant with respect to the compact form of the torus. Our work was motivated by and extends that of Shiffman, Tate and Zelditch.
- 出版日期2013
- 单位INRIA
