PROJECTIVE-MANIFOLDS SWEPT OUT BY LARGE DIMENSIONAL LINEAR-SPACES

Authors
SATO E
Citation
E. Sato, PROJECTIVE-MANIFOLDS SWEPT OUT BY LARGE DIMENSIONAL LINEAR-SPACES, Tohoku Mathematical Journal, 49(3), 1997, pp. 299-321
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
49
Issue
3
Year of publication
1997
Pages
299 - 321
Database
ISI
SICI code
0040-8735(1997)49:3<299:PSOBLD>2.0.ZU;2-3
Abstract
The author studies the deformation of a flag variety and investigates the structure of a smooth closed subvariety in a projective space whic h is swept out by large dimensional linear spaces. Then a sufficient c ondition is given for the subvariety to be isomorphic to one of a proj ective bundle, a hyperquadric and a Grassman variety.