The Chevalley-Weil formula on nodal curves
Yubo Tong
TL;DR
This paper extends the Chevalley-Weil formula to nodal curves, analyzing how finite automorphism groups act on holomorphic differentials and providing explicit computations and examples.
Contribution
It generalizes the Chevalley-Weil formula to nodal curves and includes conditions for quotient curves, with illustrative examples.
Findings
Derived the Chevalley-Weil formula for nodal curves.
Provided explicit computations and conditions for quotient curves.
Presented examples illustrating the formula's application.
Abstract
In this paper, we study the eigensubspace of the space of the holomorphic differentials of nodal curves over the algebracally closed field under the action of finite automorphism groups. We compute the Chevalley- Weil formula with some additional contidions of the quotient curve and give some examples.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems