Geodesic
Natural $G$-constellation families
Documenta mathematica, Tome 13 (2008), pp. 803-823.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $G$ be a finite subgroup of $\gl_n(\mathbb{C}). G$-constellations are a scheme-theoretic generalization of orbits of $G$ in $\mathbb{C}^n$. We study flat families of $G$-constellations parametrised by an arbitrary resolution of the quotient space $\mathbb{C}^n/G$. 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.
Classification : 14J17, 14J10, 14D20, 14J40 
@article{DOCMA_2008__13__a1,
     author = {Logvinenko, Timothy},
     title = {Natural $G$-constellation families},
     journal = {Documenta mathematica},
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     volume = {13},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2008__13__a1/}
}
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Logvinenko, Timothy. Natural $G$-constellation families. Documenta mathematica, Tome 13 (2008), pp. 803-823. http://geodesic.mathdoc.fr/item/DOCMA_2008__13__a1/