Tomoyuki Arakawa

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20242026

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math.RT2024

Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras

Tomoyuki Arakawa, Vyacheslav Futorny, Libor Krizka

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 contai…

math.RT2023

Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with $N = 4$ Symmetry

Tomoyuki Arakawa, Toshiro Kuwabara, Sven Möller

To each complex reflection group $Γ$ one can attach a canonical symplectic singularity $M_{Γ}$ arXiv:math/9903070. Motivated by the 4D/2D duality arXiv:1312.5344, arXiv:170…

Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras

Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with N=4 Symmetry

Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with $N = 4$ Symmetry