Abstract
We study the arithmetic properties of higher Weierstrass points on modular curves X0(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 Xd(p) and the superaingular locus in characteristic p.
Original language | English (US) |
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Pages (from-to) | 1521-1535 |
Number of pages | 15 |
Journal | Transactions of the American Mathematical Society |
Volume | 355 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2003 |
Keywords
- Modular curves
- Weierstrass points
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics