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arXiv · 2405.10747

Number of Polynomials Vanishing on a Basis of $S_m(Γ_0(N))$

Iva Kodrnja·Helena Koncul
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Abstract

In this paper we find the number of homogeneous polynomials of degree d such that they vanish on cuspidal modular forms of even weight $m\geq 2$ that form a basis for $S_m(Γ_0(N))$. We use these cuspidal forms to embedd $X_0(N)$ to projective space and we find the Hilbert polynomial of the graded ideal of the projective curve that is the image of this embedding.

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BibTeXRIS

Iva Kodrnja, Helena Koncul. 2024-05-17. Number of Polynomials Vanishing on a Basis of $S_m(Γ_0(N))$. https://arxiv.org/abs/2405.10747

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