%0 Journal Article
%T On Orbifold Criteria for Symplectic Toric Quotients
%A Carla Farsi
%A Hans-Christian Herbig
%A Christopher Seaton
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2013
%I National Academy of Science of Ukraine
%R 10.3842/sigma.2013.032
%X We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients cannot be graded regularly symplectomorphic to the quotient of a symplectic representation of a finite group, while the corresponding GIT quotients are smooth. Additionally, we relate the question of simplicialness of a torus representation to Gaussian elimination.
%K singular symplectic reduction
%K invariant theory
%K orbifold
%U http://dx.doi.org/10.3842/SIGMA.2013.032