English

Proof of the Ginzburg-Kazhdan conjecture

Algebraic Geometry 2024-05-09 v3 Representation Theory Symplectic Geometry

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 Q\mathbb{Q}-factorial and has terminal singularities.

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Cite

@article{arxiv.2302.11160,
  title  = {Proof of the Ginzburg-Kazhdan conjecture},
  author = {Tom Gannon},
  journal= {arXiv preprint arXiv:2302.11160},
  year   = {2024}
}

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v3 Final Version