Year: 2025
Type: article
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.
Source: AIMS Mathematics
DOI: 10.3934/math.2025554
Author: Yubo Tong
Institution: Xiamen University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
Award: G1061265926
OpenAlex ID: W4410767898