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math.SG2023★ 2 cited
Limit of geometric quantizations on Kähler manifolds with T-symmetry
Naichung Conan Leung, Dan Wang
A compact Kähler manifold with -symmetry admits a natural mixed polarization whose real directions come from the -action.…
math.SG2023
Geometric quantizations of mixed polarizations on Kähler manifolds with T-symmetry
Naichung Conan Leung, Dan Wang
Let be a compact Kähler manifold equipped with a pre-quantum line bundle . In [9], using -symmetry, we constructed a polarization on , whi…
math.SG2022
Degeneration of Kahler polarizations to mixed polarizations on toric varieties
Dan Wang
Let be a toric variety of dimension determined by a Delzant polytope. In this paper, we first construct the polarizations $\shP_{k}$ by the Hamiltonian -act…