Abel-Jacobi map under Schiffer variation

2011/08/27 by Taejung Kim, Kim, Taejung
Engineering · Mathematics · Physics and Astronomy · #14D07 #14H42 #14H70 #32G15 #32G20 #35Q51 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations #math.AG #math.DG #math.DS #msc:14D07 #msc:14H42 #msc:14H70 #msc:32G15 #msc:32G20 #msc:35Q51

paper · pdf · doi:10.48550/arxiv.1108.5439

We correct various typos

openalex publication_date 2011/08/27 · arxiv created 2011/11/25 · arxiv updated 2011/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize how to vary the Abel-Jacobi map in terms of Schiffer variation. From this characterization, we will interpret the relation of hyperellipticity of curves with Schiffer variation and describe the deformation of elliptic solitons under Schiffer variation.

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