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

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.

arXiv comment39 pages, 2 figures, e-mail address of the second author is [email protected]

Cited by in corpus (7)

• Gushel--Mukai varieties: classification and birationalities
• On nodal prime Fano threefolds of degree 10
• The moduli space of genus 4 even spin curves is rational
• Affine cones over Fano-Mukai fourfolds of genus 10 are flexible
• On Varieties of Lines on Linear Sections of Grassmannians
• Fano-Mukai fourfolds of genus $10$ as compactifications of ${\mathbb{C}}^4$
• Spin curves and Scorza quartics