Weierstrass points of modular curves at cusps
Tom 202 / 2022
Acta Arithmetica 202 (2022), 173-183
MSC: Primary 14H55.
DOI: 10.4064/aa201213-3-8
Opublikowany online: 31 January 2022
Streszczenie
We prove that all non-exact cusps on of genus \geq 2 are Weierstrass points except for X_1(18). Also, for any positive integer N of the form p^2M with a prime p and a positive integer M, we obtain some results on when the cusps of X_0(N) equivalent to \bigl (\begin {smallmatrix} 1\\p \end {smallmatrix}\bigr ) are Weierstrass points.
