Weierstrass points and modular forms

zbMath0558.14019MaRDI QIDQ762573

David E. Rohrlich

Publication date: 1985

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

zbMATH Keywords

Weierstrass pointscusp of modular curvezeros of the Wronskian

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Singularities of curves, local rings (14H20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Differentials on Riemann surfaces (30F30)

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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 on hyperelliptic modular curves ⋮ Weierstrass points on certain modular groups ⋮ On Higher Order Weierstrass Points on X0(N) ⋮ Modular curves and bases for the spaces of cuspidal modular forms ⋮ On embeddings of modular curves in projective spaces ⋮ Weierstrass points at cusps on special modular curves ⋮ Weierstrass points on bielliptic intermediate modular curves ⋮ Weierstrass points on \(X^+_0 (p)\) and supersingular \(j\)-invariants