English

Mumford's influence on the moduli theory of algebraic varieties

Algebraic Geometry 2018-10-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1809.10723,
  title  = {Mumford's influence on the moduli theory of algebraic varieties},
  author = {János Kollár},
  journal= {arXiv preprint arXiv:1809.10723},
  year   = {2018}
}