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Smooth models of quiver moduli · Around

2007

Smooth models of quiver moduli

Engel, Johannes, Reineke, Markus

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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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D. Luna:
1973
Earlier work this paper cites.
L. Le Bruyn, C. Procesi:
1987
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M. Van den Bergh:
Original
1988
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A. King:
1994
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D. Mumford, J. Fogarty, F. Kirwan:
1994
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M. Thaddeus:
1994
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H. Nakajima:
1996
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