2010/12/26 by Alexander Karabegov, Karabegov, Alexander
Mathematics · #53B35 #53D17 #53D55 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:53B35 #msc:53D17 #msc:53D55
paper · pdf · doi:10.48550/arxiv.1012.5495
17 pages, some additions and corrections made
arxiv created 2011/01/18 · arxiv updated 2011/01/19
Given a complex manifold M with an open dense subset Ω endowed with a pseudo-Kaehler form ω which cannot be smoothly extended to a larger open subset, we consider various examples where the corresponding Kaehler-Poisson structure and a star product with separation of variables on (Ω, ω) admit smooth extensions to M. We suggest a simple criterion of the existence of a smooth extension of a star product and apply it to these examples.