The Automorphism Group of Linear Sections of the Grassmannians G(1,N)
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9904060,
title = {The Automorphism Group of Linear Sections of the Grassmannians G(1,N)},
author = {J. Piontkowski and A. Van de Ven},
journal= {arXiv preprint arXiv:math/9904060},
year = {2007}
}
Comments
39 pages, 2 figures, e-mail address of the second author is [email protected]