Real normalized differentials and Arbarello's conjecture
classification
🧮 math.AG
hep-thnlin.SI
keywords
arbarelloconjecturecurvesdifferentialsrealalgebraiccompactcomplex
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Using meromorphic differentials with real periods, we prove Arbarello's conjecture: any compact complex cycle of dimension $g-n$ in the moduli space $\M_g$ of smooth genus $g$ algebraic curves must intersect the locus of curves having a Weierstrass point of order at most $n$.
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