On the Bezrukavnikov-Kaledin quantization of symplectic varieties in\n characteristic p

2020/11/16 by Ekaterina Bogdanova, Vadim Vologodsky, Bogdanova, Ekaterina +1
Mathematics · Physics and Astronomy · #14G17 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2011.08259

openalex publication_date 2020/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that after inverting the Planck constant h the\nBezrukavnikov-Kaledin quantization (X, \O_h) of symplectic variety\nX in characteristic p is Morita equivalent to a certain central reduction\nof the algebra of differential operators on X.\n

Citations

• Etingof conjecture for quantized quiver varieties
• McKay equivalence for symplectic resolutions of singularities

Related

• The canonical global quantization of symplectic varieties in characteristic p
• Fedosov quantization in positive characteristic
• Quantization of Drinfeld Zastava in type C
• Quantization of compact symplectic manifolds
• Fedosov quantization in algebraic context