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A direct approach to Bergman kernel asymptotics for positive line bundles |
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| Authors: | Robert Berman Bo Berndtsson Johannes Sjöstrand |
| Institution: | 1. Department of Mathematics, Chalmers University of Technology, SE-412 96, G?teborg, Sweden 2. Department of Mathematics, University of Gothenburg, SE-412 96, G?teborg, Sweden 3. Centre de Mathématiques Laurent Schwartz, Ecole Polytechnique, FR-91120, Palaiseau, France |
| Abstract: | We give an elementary proof of the existence of an asymptotic expansion in powers of k of the Bergman kernel associated to L k , where L is a positive line bundle over a compact complex manifold. We also give an algorithm for computing the coefficients in the expansion. |
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