Real normalized differentials and Arbarello's conjecture

I. M. Krichever

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


Using meromorphic differentials with real periods, we prove Arbarello's conjecture that any compact complex cycle of dimension g - n in the moduli space M g of smooth algebraic curves of genus g must intersect the locus of curves having a Weierstrass point of order at most n.

Original languageEnglish
Pages (from-to)110-120
Number of pages11
JournalFunctional Analysis and its Applications
Issue number2
Publication statusPublished - Apr 2012


  • integrable system
  • moduli space of algebraic curves
  • real normalized differential


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