Stability of pencils of plane sextics and Halphen pencils of index two

2021/01/08 by Aline Zanardini, Zanardini, Aline · 1 citation
Mathematics · #14J27 (Secondary) #14L24 (Primary) #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2101.03152

openalex publication_date 2021/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the stability of pencils of plane sextics in the sense of geometric invariant theory. In particular, we obtain a complete and geometric description of the stability of Halphen pencils of index two.

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