The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three
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genusmoduliabeliancharacteristiccurveseulerlocalspace
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We show how to calculate the Euler characteristic of a local system associated to an irreducible representation of the symplectic group of genus 3 on the moduli space of curves of genus 3 and the moduli space of principally polarized abelian varieties of dimension 3.
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