Admissible covers and stable maps
Algebraic Geometry
2025-06-10 v2
Abstract
Moduli spaces of admissible covers and stable maps of target curves give rise to cycles on . We prove a formula relating these cycles. It recovers both the Ekedahl-Lando-Shapiro-Vainshtein formula and the Gromov-Witten/Hurwitz correspondence, providing a cycle-theoretic refinement thereof. The formula is verified computationally in low-genus cases with the help of Johannes Schmitt.
Keywords
Cite
@article{arxiv.2505.03487,
title = {Admissible covers and stable maps},
author = {Denis Nesterov and Maximilian Schimpf and Johannes Schmitt},
journal= {arXiv preprint arXiv:2505.03487},
year = {2025}
}
Comments
32 pages, Appendix by Johannes Schmitt