奇异projective varieties和量化
Singular projective varieties and quantization
摘要：
利用量子化条件，紧可量子化Kaehler流形可以嵌入到射影空间中.这样，它们就变成了投射变体。Berezin-Toeplitz量子化（和几何量子化）的量子希尔伯特空间是嵌入流形的射影坐标环。这允许推广到奇异变种的情况。在第一部分的贡献解释了设置。第二部分的贡献是教程性质。必要的概念，概念和结果的代数几何出现在这种方法来量化的解释。特别是，概念的投影品种，嵌入，奇异性，并出现在几何不变理论的concentients被召回。
英文摘要：
By the quantization condition compact quantizable Kaehler manifolds can be embedded into projective space. In this way they become projective varieties. The quantum Hilbert space of the Berezin-Toeplitz quantization (and of the geometric quantization) is the projective coordinate ring of the embedded manifold. This allows for generalization to the case of singular varieties. The set-up is explained in the first part of the contribution. The second part of the contribution is of tutorial nature. Necessary notions, concepts, and results of algebraic geometry appearing in this approach to quantization are explained. In particular, the notions of projective varieties, embeddings, singularities, and quotients appearing in geometric invariant theory are recalled.
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