A new construction of (D)over-tilde(5)-singularities and generalization of Slodowy slices


Nakamoto K., TOSUN M.

JOURNAL OF ALGEBRA, cilt.376, ss.139-151, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

Any simple elliptic singularity of type (D) over tilde (5) can be obtained by taking the intersection of the nilpotent variety and the 4-dimensional "good slices" in the semi-simple Lie algebra sl(2, C) circle plus sl(2, C). We describe these new slices purely by the structure of the Lie algebra. We also construct the semi-universal deformation spaces of (D) over tilde (5)-singularities by using the 4-dimensional "good slices". (c) 2012 Elsevier Inc. All rights reserved.