Geodesic
Deformations and contractions of algebraic structures
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, convex polytopes, and related topics, Tome 286 (2014), pp. 262-274

Voir la notice de l'article provenant de la source Math-Net.Ru

We describe the basic notions of versal deformation theory of algebraic structures and compare it with the analytic theory. As a special case, we consider the notion of versal deformation used by Arnold. With the help of versal deformation we get a stratification of the moduli space into projective orbifolds. We compare this with Arnold's stratification in the case of similarity of matrices. The other notion we discuss is the opposite notion of contraction. 
@article{TM_2014_286_a13,
     author = {Alice Fialowski},
     title = {Deformations and contractions of algebraic structures},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {262--274},
     publisher = {mathdoc},
     volume = {286},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2014_286_a13/}
}
TY  - JOUR
AU  - Alice Fialowski
TI  - Deformations and contractions of algebraic structures
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2014
SP  - 262
EP  - 274
VL  - 286
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2014_286_a13/
LA  - en
ID  - TM_2014_286_a13
ER  - 
%0 Journal Article
%A Alice Fialowski
%T Deformations and contractions of algebraic structures
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2014
%P 262-274
%V 286
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2014_286_a13/
%G en
%F TM_2014_286_a13
Alice Fialowski. Deformations and contractions of algebraic structures. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, convex polytopes, and related topics, Tome 286 (2014), pp. 262-274. http://geodesic.mathdoc.fr/item/TM_2014_286_a13/