Asymptotics of eigensections on toric varieties

Details Asymptotics of eigensections on toric varieties Asymptotics of eigensections on toric varieties

2010-10-18

arxiv.org/abs/1010.3681v1

Mathematics

Complex Variables

Scientific paper

Using exhaustion properties of invariant plurisubharmonic functions along with basic combinatorial information on toric varieties convergence results for sequences of distribution functions \phi_n=|s_N| / |s_N|_{L^2} for sections s_N\in \Gamma (X,L^N) approaching a semiclassical ray are proved. 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.

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