Singular projective varieties and quantization

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dc.creatorSchlichenmaier, Martin
dc.date2000-05-31
dc.date.accessioned2026-07-07T04:35:37Z
dc.date.available2026-07-07T04:35:37Z
dc.descriptionBy 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.
dc.description21 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0005288
dc.identifierhttp://arxiv.org/abs/math/0005288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59311
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subjectQuantum Physics
dc.subject58F06;58F05;53C55,81S10;14A22
dc.titleSingular projective varieties and quantization
dc.typetext

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