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Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras
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The closure of a Diximier sheet is the image of a generalized Grothendieck's simultaneous resolution. We show that the associated variety of simple affine vertex algebras is contained in the closure of the Diximier sheet when a chiralization of generalized Grothendieck's simultaneous resolution exists. This generalizes in a conceptual manner the results obtained by the first named author and Anne Moreau and, in particular, allows to extend them to the types A_2, C_n, E_6, E_7.
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Cited by 2 Pith papers
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Associated varieties of simple affine vertex algebras at rational levels
Authors conjecture associated varieties of L_k(g) for simply-laced g at rational k > critical level, using Gao-Liu-Lo-Shahidi covering duality map, and supply supporting evidence.
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Affine vertex algebras and an affine analog of Barbasch-Vogan's construction
This expository preprint proposes a Langlands-style conjectural description of associated varieties and simple modules of simple affine vertex algebras at integer levels in simply-laced types.
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