The Automorphism Group of Linear Sections of the Grassmannians G(1,N)
Abstract
Description
The Grassmannians of lines in projective N-space, G(1,N), are embedded by way of the Pl"ucker embedding in the projective space P(\bigwedge^2 C^{N+1}). Let H^l be a general l-codimensional linear subspace in this projective space.
We examine the geometry of the linear sections G(1,N)\cap H^l by studying their automorphism groups and list those which are homogeneous or quasihomogeneous.
39 pages, 2 figures, e-mail address of the second author is VEN@rulwinw.leidenuniv.nl
39 pages, 2 figures, e-mail address of the second author is VEN@rulwinw.leidenuniv.nl