Perverse coherent sheaves on symplectic singularities
Representation Theory
2025-10-28 v1 Algebraic Geometry
Symplectic Geometry
Abstract
We propose the notion of perverse coherent sheaves for symplectic singularities and study its properties. In particular, it gives a basis of simple objects in the Grothendieck group of Poisson sheaves. We show that perverse coherent bases for the nilpotent cone and for the affine Grassmannian arise as particular cases of our construction.
Keywords
Cite
@article{arxiv.2510.22541,
title = {Perverse coherent sheaves on symplectic singularities},
author = {Ilya Dumanski},
journal= {arXiv preprint arXiv:2510.22541},
year = {2025}
}
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46 pages