Smooth models of quiver moduli

2007/06/28 by Engel, Johannes, Reineke, Markus · 2 citations
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0706.4306

Abstract

For any moduli space of stable representations of quivers, certain smooth varieties, compactifying projective space fibrations over the moduli space, are constructed. The boundary of this compactification is analyzed. Explicit formulas for the Betti numbers of the smooth models are derived. In the case of moduli of simple representations, explicit cell decompositions of the smooth models are constructed.

Cited by

• Punctual noncommutative Hilbert schemes
• Quiver moduli and quantum loop algebras

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