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- W2343913206 abstract "This article is concerned with asymptotics of equivariant Bergman kernels and partial Bergman kernels for polarized projective Kahler manifolds invariant under a Hamiltonian holomorphic $S^1$ action. Asymptotics of partial Bergman kernel are obtained in the allowed region $mathcal{A}$ resp. forbidden region $mathcal{F}$, generalizing results of Shiffman-Zelditch, Shiffman-Tate-Zelditch and Pokorny-Singer for toric Kahler manifolds. The main result gives scaling asymptotics of equivariant Bergman kernels and partial Bergman kernels in the transition region around the interface $partial mathcal{A}$, generalizing recent work of Ross-Singer on partial Bergman kernels, and refining the Ross-Singer transition asymptotics to apply to equivariant Bergman kernels." @default.
- W2343913206 created "2016-06-24" @default.
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- W2343913206 date "2016-04-22" @default.
- W2343913206 modified "2023-09-27" @default.
- W2343913206 title "Interface asymptotics of partial Bergman kernels on $S^1$-symmetric Kaehler manifolds" @default.
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- W2343913206 doi "https://doi.org/10.48550/arxiv.1604.06655" @default.
- W2343913206 hasPublicationYear "2016" @default.
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