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

Voir la notice de l'article provenant de la source EMS Press

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 
Timothy Logvinenko. Natural $G$-constellation families. Documenta mathematica, Tome 13 (2008), pp. 803-823. doi: 10.4171/dm/261
@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/}
}
TY  - JOUR
AU  - Timothy Logvinenko
TI  - Natural $G$-constellation families
JO  - Documenta mathematica
PY  - 2008
SP  - 803
EP  - 823
VL  - 13
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/261/
DO  - 10.4171/dm/261
ID  - 10_4171_dm_261
ER  - 
%0 Journal Article
%A Timothy Logvinenko
%T Natural $G$-constellation families
%J Documenta mathematica
%D 2008
%P 803-823
%V 13
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/261/
%R 10.4171/dm/261
%F 10_4171_dm_261

Cité par Sources :