Faisceaux pervers sur les vari\'et\'es toriques lisses
Delphine Dupont

TL;DR
This paper provides a description of the category of perverse sheaves on smooth toric varieties using quiver representations derived from the fan structure, establishing an equivalence between these categories.
Contribution
It introduces a novel quiver-based framework to classify perverse sheaves on smooth toric varieties, linking geometric stratifications to algebraic representations.
Findings
Equivalence between perverse sheaves and quiver representations
Explicit description of the category Perv_X for smooth toric varieties
Framework applicable to stratified toric varieties
Abstract
Let X be a smooth toric variety stratified by the torus action. This paper is a presentation of a description of the category Perv_X of perverse sheaves on X relatively to the fixed stratification. We define a category of representations of a quiver, defined thanks to the fan of X, equivalent to Perv_X.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Nonlinear Waves and Solitons
