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Showing 1 to 6 of 6 for “"Bergman Kernel"”.
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A new computation of the Bergman kernel and related techniques
We introduce a technique for obtaining the Bergman kernel on certain Hartogs domains. To do so, we apply a differential operator to a known kernel function on a domain in lower dimensional space. We rediscover some known results and we obtain new explicit formulas. Using these formulas, we analyze …
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Bergman kernel and stability of holomorphic vector bundles with sections
… The proof uses the asymptotic expansion of the Bergman kernel for general holomorphic vector bundle and machineries about moment maps involving two group actions developed by Donaldson.
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Metric Geometry of Quiver Flag Varieties and Balanced Embeddings
… metric on a line bundle is balanced if its Bergman kernel is identically constant. We study the relationship between balanced manifolds and balanced metrics, and generalize their correspondence to the case of weakly exceptional sequence of globally generated line bundles.
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Higher Rank Bergman Kernels on Compact Riemann Surfaces
… asymptotic expansion in powers of k of the Bergman kernel associated to the k-th symmetric product of h and omega.
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The Szego Kernel for Non-Pseudoconvex Domains in C<sup>2</sup>
… that are of particular interest. The <em>Bergman projection</em> <strong><em>B</em></strong> is the orthogonal projection of L<sup>2</sup>(Ω) onto the closed subspace L<sup>2</sup>(Ω)∩O(Ω), where O(Ω)is the space of all holomorphic functions on Ω. The <em>Szeg� projection</em> …
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The Szego Kernel for Non-Pseudoconvex Domains in C<sup>2</sup>
… that are of particular interest. The <em>Bergman projection</em> <strong><em>B</em></strong> is the orthogonal projection of L<sup>2</sup>(Ω) onto the closed subspace L<sup>2</sup>(Ω)∩O(Ω), where O(Ω)is the space of all holomorphic functions on Ω. The <em>Szeg� projection</em> …