A proof of the Ginzburg-Kazhdan conjecture

DOI10.1016/J.AIM.2024.109701arXiv2302.11160OpenAlexW4396684096MaRDI QIDQ6427247

Tom Gannon

Publication date: 22 February 2023

Abstract: We prove that the affine closure of the cotangent bundle of the basic affine space of a reductive group has conical symplectic singularities, which confirms a conjecture of Ginzburg and Kazhdan. We also show that this variety is $mathbbQ$-factorial and has terminal singularities.

Full work available at URL: https://doi.org/10.1016/j.aim.2024.109701

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) General properties and structure of complex Lie groups (22E10) Geometric Langlands program: representation-theoretic aspects (22E57)

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