Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
Robert Berman, Johannes Sjöstrand (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifolds.