2–5 Jul 2024
Osijek
Europe/Zagreb timezone

Polynomials vanishing on cusp forms for Gamma_0(N)

2 Jul 2024, 16:05
20m
D2 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

D2

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 6, Osijek
Talk NT: Number Theory Number Theory

Speaker

Iva Kodrnja (University of Zagreb Faculty of Geodesy)

Description

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 $S_m(\Gamma_0(N))$. 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.

Primary authors

Iva Kodrnja (University of Zagreb Faculty of Geodesy) Helena Koncul (Facultiy of Civil Engineering)

Presentation materials

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