Mathematics – Quantum Algebra
Scientific paper
2000-05-31
Mathematics
Quantum Algebra
21 pages, 3 figures
Scientific paper
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.
No associations
LandOfFree
Singular projective varieties and quantization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Singular projective varieties and quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular projective varieties and quantization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-362424