Equivariant Degenerations of Plane Curve Orbits

2019/03/24 by Mitchell Lee, Anand Patel, Lee, Mitchell +3
Mathematics · #14C15 #14H50 #14N05 #14N10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1903.10069

openalex publication_date 2019/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a series of papers, Aluffi and Faber computed the degree of the GL₃ orbit closure of an arbitrary plane curve. We attempt to generalize this to the equivariant setting by studying how orbits degenerate under some natural specializations, yielding a fairly complete picture in the case of plane quartics.

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