旗流形上Kähler极化通过环面退化收敛到实极化
Convergence of Kähler to real polarizations on flag manifolds via toric degenerations
摘要：
本文在复旗流形上构造了一族复结构，它们收敛于Gelfand-Cetlin可积系统的实偏振态，即前量子线丛的全纯截面收敛于Bohr-Sommerfeld光纤上的δ函数截面.我们的结构是基于一个复曲面退化的旗品种和变形的Kähler结构复曲面品种的辛潜力。
英文摘要：
In this paper we construct a family of complex structures on a complex flag manifold that converge to the real polarization coming from the Gelfand-Cetlin integrable system, in the sense that holomorphic sections of a prequantum line bundle converge to delta-function sections supported on the Bohr-Sommerfeld fibers. Our construction is based on a toric degeneration of flag varieties and a deformation of Kähler structure on toric varieties by symplectic potentials.
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