Real normalized differentials and Arbarello's conjecture

2011/12/29 by I. M. Krichever, Krichever, I. · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1112.6427

openalex publication_date 2011/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

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