Real normalized differentials and Arbarello's conjecture

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 $n$.

Final version to appear in "Functional analysis and its applications"

References in corpus (1)

• On the tautological ring of $\M _g$

Cited by in corpus (1)

• Real normalized differentials and compact cycles in the moduli space of curves