Pure and Applied Mathematics Quarterly
Volume 17 (2021)
Special Issue: In Honor of David Mumford
Guest Editors: Ching-Li Chai, Amnon Neeman
Mumford’s influence on the moduli theory of algebraic varieties
Pages: 619 – 647
We give a short appreciation of Mumford’s work on the moduli of varieties by putting it into historical context. By reviewing earlier works we highlight the innovations introduced by Mumford. Then we discuss recent developments whose origins can be traced back to Mumford’s ideas.
Partial financial support was provided by the NSF under grant number DMS-1362960.
Received 27 September 2018
Accepted 8 November 2018
Published 12 May 2021