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Paper detail

Asymptotics of eigensections on toric varieties

Using exhaustion properties of invariant plurisubharmonic functions along with basic combinatorial information on toric varieties convergence results for sequences of distribution functions ϕ_n=|s_N| / |s_N|_{L^2} for sections s_N\in Γ(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.

preprint2010arXivOpen access
Alan HuckleberryHolger SebertAppendix by Daniel Barlet
math.CV
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Alan HuckleberryHolger SebertAppendix by Daniel Barlet

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