Orbits of linear series on the projective line

2022/11/29 by Anand Deopurkar, Deopurkar, Anand, Anand Patel +1
Mathematics · #Advanced Topics in Algebra #Advanced Algebra and Geometry #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2211.16603

Abstract

We compute the equivariant fundamental class of the orbit closure of a linear series on the projective line. We also describe the boundary of the orbit closure and how the orbits specialise in one parameter families.

Related

• Equivariant classes of orbits in GL(2)-representations
• Equivariant Degenerations of Plane Curve Orbits
• Linear orbits of smooth quadric surfaces
• Geometry of orbits of permanents and determinants
• A formula for non-equioriented quiver orbits of type A