Geodesic
Injectivity of Generalized Wronski Maps
Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 747-761

Voir la notice de l'article provenant de la source Cambridge

DOI

We study linear projections on Plücker space whose restriction to the Grassmannian is a non-trivial branched cover. When an automorphism of the Grassmannian preserves the fibers, we show that the Grassmannian is necessarily of $m$ -dimensional linear subspaces in a symplectic vector space of dimension $2m$ , and the linear map is the Lagrangian involution. The Wronski map for a self-adjoint linear diòerential operator and the pole placement map for symmetric linear systems are natural examples.
DOI : 10.4153/CMB-2017-001-0
Mots-clés : 14M15, 34A30, 93B55, Wronski map, Plücker embedding, curves in Lagrangian Grassmannian, self-adjoint linear differential operator, symmetric linear control system, pole placement map 
Huang, Yanhe; Sottile, Frank; Zelenko, Igor. Injectivity of Generalized Wronski Maps. Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 747-761. doi: 10.4153/CMB-2017-001-0
@article{10_4153_CMB_2017_001_0,
     author = {Huang, Yanhe and Sottile, Frank and Zelenko, Igor},
     title = {Injectivity of {Generalized} {Wronski} {Maps}},
     journal = {Canadian mathematical bulletin},
     pages = {747--761},
     year = {2017},
     volume = {60},
     number = {4},
     doi = {10.4153/CMB-2017-001-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-001-0/}
}
TY  - JOUR
AU  - Huang, Yanhe
AU  - Sottile, Frank
AU  - Zelenko, Igor
TI  - Injectivity of Generalized Wronski Maps
JO  - Canadian mathematical bulletin
PY  - 2017
SP  - 747
EP  - 761
VL  - 60
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-001-0/
DO  - 10.4153/CMB-2017-001-0
ID  - 10_4153_CMB_2017_001_0
ER  - 
%0 Journal Article
%A Huang, Yanhe
%A Sottile, Frank
%A Zelenko, Igor
%T Injectivity of Generalized Wronski Maps
%J Canadian mathematical bulletin
%D 2017
%P 747-761
%V 60
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-001-0/
%R 10.4153/CMB-2017-001-0
%F 10_4153_CMB_2017_001_0

Cité par Sources :