In this paper we shall review some recent results on the asymptotic expansion of the equivariant components of an algebro geometric Szeg o kernel determined by the linearization of a Hamiltonian action of U(2) (with certain assumptions). We shall build on the techniques developed in [13], [1], and [11], and therefore ultimately on the microlocal description of the Szeg o kernel as a Fourier integral operator in [3].
Hamiltonian U(2)-actions and Szegö kernel asymptotics
Galasso, A.;
2019-01-01
Abstract
In this paper we shall review some recent results on the asymptotic expansion of the equivariant components of an algebro geometric Szeg o kernel determined by the linearization of a Hamiltonian action of U(2) (with certain assumptions). We shall build on the techniques developed in [13], [1], and [11], and therefore ultimately on the microlocal description of the Szeg o kernel as a Fourier integral operator in [3].File in questo prodotto:
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