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arXiv · 2009.14801

Birational Equivalences and Generalized Weyl Algebras

Atabey Kaygun
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Abstract

We calculate suitably localized Hochschild homologies of various quantum groups and Podle\'s spheres after realizing them as generalized Weyl algebras (GWAs). We use the fact that every GWA is birationally equivalent to a smash product with a 1-torus. We also address and solve the birational equivalence problem, and the birational smoothness problem for GWAs.

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Atabey Kaygun. 2020-09-30. Birational Equivalences and Generalized Weyl Algebras. https://doi.org/10.3842/sigma.2025.063

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