K3曲面上几何量化的谱收敛性

IF 0.5 4区数学 Q3 MATHEMATICS

Asian Journal of Mathematics Pub Date : 2023-01-01 DOI:10.4310/ajm.2023.v27.n3.a2

Kota Hattori

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引用次数: 1

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Spectral convergence in geometric quantization on $K3$ surfaces

We study the geometric quantization on $K3$ surfaces from the viewpoint of the spectral convergence. We take a special Lagrangian fibrations on the $K3$ surfaces and a family of hyper-Kahler structures tending to large complex structure limit, and show a spectral convergence of the $\bar{\partial}$-Laplacians on the prequantum line bundle to the spectral structure related to the set of Bohr-Sommerfeld fibers.

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