On the Torelli problem and Jacobian Nullwerte in genus three

2009/01/28 by Jordi Guàrdia, Jordi Guardia, Guardia, Jordi
Mathematics · #14C34 #14H45 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14C34 #msc:14H45

paper · pdf · doi:10.48550/arxiv.0901.4376

13 pages

arxiv created 2009/01/28 · openalex publication_date 2009/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a closed formula for recovering a non-hyperelliptic genus three curve from its period matrix, and derive some identities between Jacobian Nullwerte in dimension three.

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