Geodesic
Natural $G$-constellation families
Documenta mathematica, Tome 13 (2008), pp. 803-823
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Let G be a finite subgroup of GLn​(C).G-constellations are a scheme-theoretic generalization of orbits of G in Cn. We study flat families of G-constellations parametrised by an arbitrary resolution of the quotient space Cn/G. We develop a geometrical naturality criterion for such families, and show that, for an abelian G, the number of equivalence classes of these natural families is finite. The main intended application is the derived McKay correspondence.
DOI : 10.4171/dm/261
Classification : 14D20, 14J10, 14J17, 14J40 
@article{10_4171_dm_261,
     author = {Timothy Logvinenko},
     title = {Natural $G$-constellation families},
     journal = {Documenta mathematica},
     pages = {803--823},
     year = {2008},
     volume = {13},
     doi = {10.4171/dm/261},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/261/}
}
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Timothy Logvinenko. Natural $G$-constellation families. Documenta mathematica, Tome 13 (2008), pp. 803-823. doi: 10.4171/dm/261

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