Algebra & Number Theory Vol. 4, No. 1, 2010

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The Picard group of $\mathscr M_{1,1}$

William Fulton and Martin Olsson

Vol. 4 (2010), No. 1, 87–104

DOI: 10.2140/ant.2010.4.87

Abstract

We compute the Picard group of the moduli stack of elliptic curves and its canonical compactification over general base schemes.

Keywords

moduli spaces, stacks, Picard group

Mathematical Subject Classification 2000

Primary: 14D22

Secondary: 14D05

Milestones

Received: 15 May 2009

Revised: 30 September 2009

Accepted: 30 November 2009

Published: 14 January 2010

Authors

William Fulton
Department of Mathematics University of Michigan Ann Arbor, MI 48109-1043 United States

Martin Olsson
Department of Mathematics Univesity of California Berkeley, CA 94720-3840 United States