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Fano quiver moduli

Hans Franzen, Markus Reineke, Silvia Sabatini

2020Canadian Mathematical Bulletin10 citationsDOIOpen Access PDF

Abstract

Abstract We exhibit a large class of quiver moduli spaces, which are Fano varieties, by studying line bundles on quiver moduli and their global sections in general, and work out several classes of examples, comprising moduli spaces of point configurations, Kronecker moduli, and toric quiver moduli.

Topics & Concepts

QuiverModuli spaceFano planeMathematicsModuliPure mathematicsClass (philosophy)Kronecker deltaPoint (geometry)Moduli of algebraic curvesLine (geometry)Modular equationAlgebra over a fieldLine bundleAlgebraic structures and combinatorial modelsAlgebraic Geometry and Number TheoryAdvanced Combinatorial Mathematics
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