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

2012/04/10 by I. M. Krichever, Krichever, I.
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.1204.2192

openalex publication_date 2012/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using constructions of the Whitham perturbation theory of integrable system we prove a new sharp upper bound of 3g/2-2 on the dimension of complete subvarieties of \M_g^ct.

Citations

• An affine open covering of M_g for g ≤ 5
• Real normalized differentials and Arbarello's conjecture

Related

• Real normalized differentials and Arbarello's conjecture
• Compact Subvarieties of the Moduli Space of Complex Abelian Varieties
• k-differentials on curves and rigid cycles in moduli space
• Dimension of the moduli space of a curve in the complex plane
• Dimension theory of the moduli space of twisted k-differentials