Computational Aspects of Equivariant Hilbert Series of Canonical Rings for Algebraic Curves
Lecture Notes in Computer Science, 2022 We study computational aspects of the problem of decomposing finite group actions on graded modules arising in arithmetic geometry, in the context of ordinary representation theory. We provide an algorithm to compute the equivariant Hilbert series of automorphisms acting on canonical rings of projective curves, using the formulas of Chevalley and Weil.
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