Real normalized differentials and Arbarello's conjecture

Published 29 Dec 2011 in math.AG, hep-th, and nlin.SI | (1112.6427v2)

Abstract: 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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I. Krichever

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