The Kähler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kähler structure which reflects the geometry of the group. For the group SL(n,ℂ), we interpret the resulting singular Poisson-Kähler geometry of the quotient in terms of complex discriminant varieties and variants thereof.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-16,
author = {Johannes Huebschmann},
title = {Singular Poisson-K\"ahler geometry of certain adjoint quotients},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {325-347},
zbl = {1209.53064},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-16}
}
Johannes Huebschmann. Singular Poisson-Kähler geometry of certain adjoint quotients. Banach Center Publications, Tome 75 (2007) pp. 325-347. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-16/