paper

Proof of the Ginzburg-Kazhdan conjecture

arXiv:2302.11160 · doi:10.1016/j.aim.2024.109701

Abstract

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

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