The Automorphism Group of Linear Sections of the Grassmannians G(1,N)

Details The Automorphism Group of Linear Sections of the Grassmannians G(1,N) The Automorphism Group of Linear Sections of the Grassmannians G(1,N)

1999-04-14

arxiv.org/abs/math/9904060v1

Mathematics

Algebraic Geometry

39 pages, 2 figures, e-mail address of the second author is VEN@rulwinw.leidenuniv.nl

Scientific paper

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.

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