Asymptotics of eigensections on toric varieties
Complex Variables
2010-10-19 v1
Abstract
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.
Cite
@article{arxiv.1010.3681,
title = {Asymptotics of eigensections on toric varieties},
author = {Alan Huckleberry and Holger Sebert and Appendix by Daniel Barlet},
journal= {arXiv preprint arXiv:1010.3681},
year = {2010}
}