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arxiv: 1809.10723 · v1 · pith:YM74257Inew · submitted 2018-09-27 · 🧮 math.AG

Mumford's influence on the moduli theory of algebraic varieties

classification 🧮 math.AG
keywords mumfordmodulivarietiesalgebraicappreciationbackcontextdevelopments
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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.

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