Tautological classes of strata of exact differentials
Algebraic Geometry
2023-04-11 v1
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.
Keywords
Cite
@article{arxiv.2304.04064,
title = {Tautological classes of strata of exact differentials},
author = {Frederik Benirschke},
journal= {arXiv preprint arXiv:2304.04064},
year = {2023}
}