Translator Disclaimer
September 2016 The Picard groups of the stacks $\mathscr{Y}_0(2)$ and $\mathscr{Y}_0(3)$
Andrew Niles
Funct. Approx. Comment. Math. 55(1): 105-112 (September 2016). DOI: 10.7169/facm/2016.55.1.7

Abstract

We compute the Picard group of the stack of elliptic curves equipped with a cyclic subgroup of order two, and of the stack of elliptic curves equipped with a cyclic subgroup of order three, over any base scheme on which $6$ is invertible. This generalizes a result of Fulton-Olsson, who computed the Picard group of the stack of elliptic curves (with no level structure) over a~wide variety of base schemes.

Citation

Download Citation

Andrew Niles. "The Picard groups of the stacks $\mathscr{Y}_0(2)$ and $\mathscr{Y}_0(3)$." Funct. Approx. Comment. Math. 55 (1) 105 - 112, September 2016. https://doi.org/10.7169/facm/2016.55.1.7

Information

Published: September 2016
First available in Project Euclid: 19 September 2016

zbMATH: 06862555
MathSciNet: MR3549015
Digital Object Identifier: 10.7169/facm/2016.55.1.7

Subjects:
Primary: 14D22
Secondary: 14D05, 14D23

Rights: Copyright © 2016 Adam Mickiewicz University

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.55 • No. 1 • September 2016
Back to Top