UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

October 24, 2017

939 Evans Hall

3:45PM: No talk



5:00PM: A “bad” component of the Hilbert Scheme

Ritvik Ramkumar

We witness a phenomenon of so-called Murphy's law in the context of Hilbert schemes. After a brief review of Hilbert schemes and their basic properties, we use the liaison theory to construct Mumford's example of a non-reduced component of the Hilbert scheme of smooth curves in P^3.

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