@article{Tong2025, 
author = {Yubo Tong},
title = {The Chevalley-Weil formula on nodal curves},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {12228-12253},
keywords = {Chevalley-Weil formula, nodal curves, regular differentials, G-invariant, characters},
url = {https://www.sciopen.com/article/10.3934/math.2025554},
doi = {10.3934/math.2025554},
abstract = {In this paper, we studied the eigenspace of the regular differentials on a connected nodal curve    X under the action of a finite automorphism group    G. We proved that the dimension of the space of    G-invariant regular differentials is the arithmetic genus of the quotient nodal curve    X      /    G. In addition, we generalized the Chevalley-Weil formula to nodal curves in the case where    X      /    G is smooth and gave some examples.}
}