On the Weierstrass points of \(X_0(N)\)

zbMath0374.14005MaRDI QIDQ1245272

A. P. Ogg

Publication date: 1978

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Theta series; Weil representation; theta correspondences (11F27) Local ground fields in algebraic geometry (14G20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (22)

Higher Weierstrass points on $X_{0}(p)$ ⋮ Weierstrass points on modular curves X₀(N) fixed by the Atkin–Lehner involutions ⋮ Weierstrass points on the Drinfeld modular curve \({X_{0}(\mathfrak {p})}\) ⋮ Weierstrass points of modular curves at cusps ⋮ Automorphisms of \(X_0^*(p)\). ⋮ Weierstrass points on hyperelliptic modular curves ⋮ Weierstrass points on certain modular groups ⋮ On the Miller basis for the space of cusp forms ⋮ Fast Jacobian arithmetic for hyperelliptic curves of genus 3 ⋮ Weierstrass points at cusps on special modular curves ⋮ Weierstrass points on bielliptic intermediate modular curves ⋮ Equations of hyperelliptic modular curves ⋮ Coefficients of Drinfeld modular forms and Hecke operators ⋮ Harmonic Maass forms of weight 1 ⋮ Weierstrass points on \(X _{0}(p \ell )\) and arithmetic properties of Fourier coefficients of cusp forms ⋮ Weierstrass points on \(X^+_0 (p)\) and supersingular \(j\)-invariants ⋮ Vanishing of modular forms at infinity ⋮ On the \(p\)-th division polynomial ⋮ Degeneration of Linear Series from the Tropical Point of View and Applications ⋮ A higher weight analogue of Ogg’s theorem on Weierstrass points ⋮ Zagier duality for level \(p\) weakly holomorphic modular forms ⋮ Algorithms for Chow-Heegner points via iterated integrals

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