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<p>We study two normal functions defined 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 family of genus 4 curves with certain trigonal structures.</p>

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Remarks on the Griffiths infinitesimal invariant of algebraic curves

  • 期刊论文

  • 发表日期：

    2025年8月8日

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  • Haohua Deng

摘要

We study two normal functions defined 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 family of genus 4 curves with certain trigonal structures.