Higher weierstrass points on X0(p)

Scott Ahlgren; Matthew Papanikolas

doi:10.1090/S0002-9947-02-03204-X

Higher weierstrass points on X₀(p)

Scott Ahlgren, Matthew Papanikolas

Mathematics

Research output: Contribution to journal › Article › peer-review

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 X_d(p) and the superaingular locus in characteristic p.

Original language	English (US)
Pages (from-to)	1521-1535
Number of pages	15
Journal	Transactions of the American Mathematical Society
Volume	355
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9947-02-03204-X
State	Published - Apr 2003

Keywords

Modular curves
Weierstrass points

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Online availability

10.1090/S0002-9947-02-03204-X

Library availability

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Cite this

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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.",

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