Tautological classes of strata of exact differentials
Abstract
Strata of exact differentials are moduli spaces for differentials on Riemann surfaces with vanishing absolute periods. Our main result is that classes of closures of strata of exact differentials inside the moduli space of multi-scale differentials lie in the divisorial tautological ring. By relating exact differentials to rational functions we obtain a new proof that classes of Hurwitz spaces are tautological and a new method for computations
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Algebraic Geometry and Number Theory
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Annales de l’institut Fourier
- Pages
- 1–53
- Publication date
- 16 July 2026
- Language
- EN