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math.AG2022
Holonomic Poisson geometry of Hilbert schemes
Mykola Matviichuk, Brent Pym, Travis Schedler
We undertake a detailed study of the geometry of Bottacin's Poisson structures on Hilbert schemes of points in Poisson surfaces, i.e. smooth complex surfaces equipped with an effec…
math.AG2022
Birational geometry of quiver varieties and other GIT quotients
Gwyn Bellamy, Alastair Craw, Travis Schedler
We prove that all projective crepant resolutions of Nakajima quiver varieties satisfying natural conditions are also Nakajima quiver varieties. More generally, we classify the smal…