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 University Press

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
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