Smooth models of quiver moduli

Details Smooth models of quiver moduli Smooth models of quiver moduli

2007-06-28

arxiv.org/abs/0706.4306v2

Mathematics

Representation Theory

37 pages, notations and typo corrected, references updated, new examples

Scientific paper

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.

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