Smooth models of quiver moduli

Johannes Engel; Markus Reineke

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arXiv · 0706.4306

Smooth models of quiver moduli

Johannes Engel·Markus Reineke

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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.

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BibTeX RIS

Johannes Engel, Markus Reineke. 2008-03-10. Smooth models of quiver moduli. https://arxiv.org/abs/0706.4306

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