Remarks on the Griffiths infinitesimal invariant of algebraic curves

2024/08/04 by Hao‐Hua Deng, Deng, Haohua
Computer Science · Engineering · Mathematics · #14D07 #14H10 #14H45 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2408.01907

openalex publication_date 2024/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study two canonically defined admissible normal functions on the moduli space of smooth genus 4 algebraic curves including the Ceresa normal function. In particular, we study the vanishing criteria for the Griffiths infinitesimal invariants of both normal functions over a specific family of curves.

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