Higher Weierstrass points on X 0 ( p ) X_{0}(p) Academic Article uri icon

abstract

  • We study the arithmetic properties of higher Weierstrass points on modular curves X 0 (p) for primes p. In particular, for r ε {2, 3, 4, 5}, we obtain a relationship between the reductions modulo p of the collection of r-Weierstrass points on X d (p) and the superaingular locus in characteristic p.

author list (cited authors)

  • Ahlgren, S., & Papanikolas, M.

citation count

  • 4

publication date

  • November 2002