Infinitesimal invariants of genus 4 curves and the Griffiths-Pirola cycle
Abstract
We give an explicit algebraic description for the infinitesimal invariants associated to the Griffiths-Pirola cycle on the universal genus 4 curve and its self intersection. We apply this to refine a result of Griffiths which recovers from these invariants the equations for the general genus 4 curve, and give a new proof (only in genus 4) of a nonvanishing result of Green and Griffiths.
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